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Finding the Fourth Proportional to 740.08, 1,110.08 and 462.52

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Solution

The fourth proportional to 740.08, 1,110.08 and 462.52 is: 693.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.08 : 1,110.08 = 462.52 : x
  2. Step 2: Convert to fraction form
    740.08/1,110.08 = 462.52/x
  3. Step 3: Cross multiply
    740.08x = 1,110.08 × 462.52
  4. Step 4: Simplify right side
    740.08x = 513,436.75
  5. Step 5: Solve for x
    x = 513,436.75/740.08
  6. Step 6: Final answer
    x = 693.76

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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.