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Finding the Fourth Proportional to 993.70, 1,489.55 and 498.59

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Solution

The fourth proportional to 993.70, 1,489.55 and 498.59 is: 747.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.70 : 1,489.55 = 498.59 : x
  2. Step 2: Convert to fraction form
    993.70/1,489.55 = 498.59/x
  3. Step 3: Cross multiply
    993.70x = 1,489.55 × 498.59
  4. Step 4: Simplify right side
    993.70x = 742,679.70
  5. Step 5: Solve for x
    x = 742,679.70/993.70
  6. Step 6: Final answer
    x = 747.39

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Why These Related Problems?

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