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Finding the Fourth Proportional to 752.58, 1,038.24 and 472.64

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Solution

The fourth proportional to 752.58, 1,038.24 and 472.64 is: 652.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.58 : 1,038.24 = 472.64 : x
  2. Step 2: Convert to fraction form
    752.58/1,038.24 = 472.64/x
  3. Step 3: Cross multiply
    752.58x = 1,038.24 × 472.64
  4. Step 4: Simplify right side
    752.58x = 490,708.56
  5. Step 5: Solve for x
    x = 490,708.56/752.58
  6. Step 6: Final answer
    x = 652.04

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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.