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Finding the Fourth Proportional to 752.59, 1,038.45 and 421.00

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Solution

The fourth proportional to 752.59, 1,038.45 and 421.00 is: 580.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.59 : 1,038.45 = 421.00 : x
  2. Step 2: Convert to fraction form
    752.59/1,038.45 = 421.00/x
  3. Step 3: Cross multiply
    752.59x = 1,038.45 × 421.00
  4. Step 4: Simplify right side
    752.59x = 437,186.43
  5. Step 5: Solve for x
    x = 437,186.43/752.59
  6. Step 6: Final answer
    x = 580.91

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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.