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Finding the Fourth Proportional to 952.90, 1,315.20 and 560.02

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Solution

The fourth proportional to 952.90, 1,315.20 and 560.02 is: 772.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.90 : 1,315.20 = 560.02 : x
  2. Step 2: Convert to fraction form
    952.90/1,315.20 = 560.02/x
  3. Step 3: Cross multiply
    952.90x = 1,315.20 × 560.02
  4. Step 4: Simplify right side
    952.90x = 736,538.30
  5. Step 5: Solve for x
    x = 736,538.30/952.90
  6. Step 6: Final answer
    x = 772.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.