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Finding the Fourth Proportional to 965.09, 1,323.13 and 947.58

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Solution

The fourth proportional to 965.09, 1,323.13 and 947.58 is: 1,299.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.09 : 1,323.13 = 947.58 : x
  2. Step 2: Convert to fraction form
    965.09/1,323.13 = 947.58/x
  3. Step 3: Cross multiply
    965.09x = 1,323.13 × 947.58
  4. Step 4: Simplify right side
    965.09x = 1,253,771.53
  5. Step 5: Solve for x
    x = 1,253,771.53/965.09
  6. Step 6: Final answer
    x = 1,299.12

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.