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Finding the Fourth Proportional to 754.21, 1,038.84 and 532.76

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Solution

The fourth proportional to 754.21, 1,038.84 and 532.76 is: 733.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.21 : 1,038.84 = 532.76 : x
  2. Step 2: Convert to fraction form
    754.21/1,038.84 = 532.76/x
  3. Step 3: Cross multiply
    754.21x = 1,038.84 × 532.76
  4. Step 4: Simplify right side
    754.21x = 553,452.40
  5. Step 5: Solve for x
    x = 553,452.40/754.21
  6. Step 6: Final answer
    x = 733.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.