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Finding the Fourth Proportional to 985.34, 1,478.10 and 498.38

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Solution

The fourth proportional to 985.34, 1,478.10 and 498.38 is: 747.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.34 : 1,478.10 = 498.38 : x
  2. Step 2: Convert to fraction form
    985.34/1,478.10 = 498.38/x
  3. Step 3: Cross multiply
    985.34x = 1,478.10 × 498.38
  4. Step 4: Simplify right side
    985.34x = 736,655.48
  5. Step 5: Solve for x
    x = 736,655.48/985.34
  6. Step 6: Final answer
    x = 747.62

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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.