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Finding the Fourth Proportional to 965.47, 1,448.15 and 471.69

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Solution

The fourth proportional to 965.47, 1,448.15 and 471.69 is: 707.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.47 : 1,448.15 = 471.69 : x
  2. Step 2: Convert to fraction form
    965.47/1,448.15 = 471.69/x
  3. Step 3: Cross multiply
    965.47x = 1,448.15 × 471.69
  4. Step 4: Simplify right side
    965.47x = 683,070.97
  5. Step 5: Solve for x
    x = 683,070.97/965.47
  6. Step 6: Final answer
    x = 707.50

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.