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Finding the Fourth Proportional to 752.61, 1,038.69 and 421.12

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Solution

The fourth proportional to 752.61, 1,038.69 and 421.12 is: 581.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.61 : 1,038.69 = 421.12 : x
  2. Step 2: Convert to fraction form
    752.61/1,038.69 = 421.12/x
  3. Step 3: Cross multiply
    752.61x = 1,038.69 × 421.12
  4. Step 4: Simplify right side
    752.61x = 437,405.83
  5. Step 5: Solve for x
    x = 437,405.83/752.61
  6. Step 6: Final answer
    x = 581.19

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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.