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Finding the Fourth Proportional to 1,006.76, 1,509.44 and 458.19

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Solution

The fourth proportional to 1,006.76, 1,509.44 and 458.19 is: 686.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.76 : 1,509.44 = 458.19 : x
  2. Step 2: Convert to fraction form
    1,006.76/1,509.44 = 458.19/x
  3. Step 3: Cross multiply
    1,006.76x = 1,509.44 × 458.19
  4. Step 4: Simplify right side
    1,006.76x = 691,608.02
  5. Step 5: Solve for x
    x = 691,608.02/1,006.76
  6. Step 6: Final answer
    x = 686.96

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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.