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Finding the Fourth Proportional to 752.63, 1,038.65 and 442.13

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Solution

The fourth proportional to 752.63, 1,038.65 and 442.13 is: 610.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.63 : 1,038.65 = 442.13 : x
  2. Step 2: Convert to fraction form
    752.63/1,038.65 = 442.13/x
  3. Step 3: Cross multiply
    752.63x = 1,038.65 × 442.13
  4. Step 4: Simplify right side
    752.63x = 459,210.92
  5. Step 5: Solve for x
    x = 459,210.92/752.63
  6. Step 6: Final answer
    x = 610.15

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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.