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Finding the Fourth Proportional to 1,006.87, 1,509.76 and 459.18

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Solution

The fourth proportional to 1,006.87, 1,509.76 and 459.18 is: 688.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.87 : 1,509.76 = 459.18 : x
  2. Step 2: Convert to fraction form
    1,006.87/1,509.76 = 459.18/x
  3. Step 3: Cross multiply
    1,006.87x = 1,509.76 × 459.18
  4. Step 4: Simplify right side
    1,006.87x = 693,251.60
  5. Step 5: Solve for x
    x = 693,251.60/1,006.87
  6. Step 6: Final answer
    x = 688.52

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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.