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Finding the Fourth Proportional to 752.53, 1,038.50 and 420.95

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Solution

The fourth proportional to 752.53, 1,038.50 and 420.95 is: 580.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.53 : 1,038.50 = 420.95 : x
  2. Step 2: Convert to fraction form
    752.53/1,038.50 = 420.95/x
  3. Step 3: Cross multiply
    752.53x = 1,038.50 × 420.95
  4. Step 4: Simplify right side
    752.53x = 437,154.28
  5. Step 5: Solve for x
    x = 437,154.28/752.53
  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.