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Finding the Fourth Proportional to 1,148.87, 1,723.92 and 499.65

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Solution

The fourth proportional to 1,148.87, 1,723.92 and 499.65 is: 749.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.87 : 1,723.92 = 499.65 : x
  2. Step 2: Convert to fraction form
    1,148.87/1,723.92 = 499.65/x
  3. Step 3: Cross multiply
    1,148.87x = 1,723.92 × 499.65
  4. Step 4: Simplify right side
    1,148.87x = 861,356.63
  5. Step 5: Solve for x
    x = 861,356.63/1,148.87
  6. Step 6: Final answer
    x = 749.74

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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.