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Finding the Fourth Proportional to 752.28, 1,038.51 and 472.65

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Solution

The fourth proportional to 752.28, 1,038.51 and 472.65 is: 652.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.28 : 1,038.51 = 472.65 : x
  2. Step 2: Convert to fraction form
    752.28/1,038.51 = 472.65/x
  3. Step 3: Cross multiply
    752.28x = 1,038.51 × 472.65
  4. Step 4: Simplify right side
    752.28x = 490,851.75
  5. Step 5: Solve for x
    x = 490,851.75/752.28
  6. Step 6: Final answer
    x = 652.49

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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.