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Finding the Fourth Proportional to 1,319.87, 1,980.68 and 498.17

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Solution

The fourth proportional to 1,319.87, 1,980.68 and 498.17 is: 747.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.87 : 1,980.68 = 498.17 : x
  2. Step 2: Convert to fraction form
    1,319.87/1,980.68 = 498.17/x
  3. Step 3: Cross multiply
    1,319.87x = 1,980.68 × 498.17
  4. Step 4: Simplify right side
    1,319.87x = 986,702.96
  5. Step 5: Solve for x
    x = 986,702.96/1,319.87
  6. Step 6: Final answer
    x = 747.58

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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.