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Finding the Fourth Proportional to 752.76, 1,038.60 and 457.92

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Solution

The fourth proportional to 752.76, 1,038.60 and 457.92 is: 631.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.76 : 1,038.60 = 457.92 : x
  2. Step 2: Convert to fraction form
    752.76/1,038.60 = 457.92/x
  3. Step 3: Cross multiply
    752.76x = 1,038.60 × 457.92
  4. Step 4: Simplify right side
    752.76x = 475,595.71
  5. Step 5: Solve for x
    x = 475,595.71/752.76
  6. Step 6: Final answer
    x = 631.80

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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.