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Finding the Fourth Proportional to 965.40, 1,448.10 and 653.55

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Solution

The fourth proportional to 965.40, 1,448.10 and 653.55 is: 980.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.40 : 1,448.10 = 653.55 : x
  2. Step 2: Convert to fraction form
    965.40/1,448.10 = 653.55/x
  3. Step 3: Cross multiply
    965.40x = 1,448.10 × 653.55
  4. Step 4: Simplify right side
    965.40x = 946,405.76
  5. Step 5: Solve for x
    x = 946,405.76/965.40
  6. Step 6: Final answer
    x = 980.33

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Double scale
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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.