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Finding the Fourth Proportional to 740.52, 1,110.90 and 493.74

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Solution

The fourth proportional to 740.52, 1,110.90 and 493.74 is: 740.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.52 : 1,110.90 = 493.74 : x
  2. Step 2: Convert to fraction form
    740.52/1,110.90 = 493.74/x
  3. Step 3: Cross multiply
    740.52x = 1,110.90 × 493.74
  4. Step 4: Simplify right side
    740.52x = 548,495.77
  5. Step 5: Solve for x
    x = 548,495.77/740.52
  6. Step 6: Final answer
    x = 740.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.