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Finding the Fourth Proportional to 1,319.04, 1,979.32 and 497.89

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Solution

The fourth proportional to 1,319.04, 1,979.32 and 497.89 is: 747.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.04 : 1,979.32 = 497.89 : x
  2. Step 2: Convert to fraction form
    1,319.04/1,979.32 = 497.89/x
  3. Step 3: Cross multiply
    1,319.04x = 1,979.32 × 497.89
  4. Step 4: Simplify right side
    1,319.04x = 985,473.74
  5. Step 5: Solve for x
    x = 985,473.74/1,319.04
  6. Step 6: Final answer
    x = 747.11

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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.