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Finding the Fourth Proportional to 752.59, 1,038.49 and 457.75

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Solution

The fourth proportional to 752.59, 1,038.49 and 457.75 is: 631.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.59 : 1,038.49 = 457.75 : x
  2. Step 2: Convert to fraction form
    752.59/1,038.49 = 457.75/x
  3. Step 3: Cross multiply
    752.59x = 1,038.49 × 457.75
  4. Step 4: Simplify right side
    752.59x = 475,368.80
  5. Step 5: Solve for x
    x = 475,368.80/752.59
  6. Step 6: Final answer
    x = 631.64

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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.