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Finding the Fourth Proportional to 1,005.84, 1,508.31 and 457.86

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Solution

The fourth proportional to 1,005.84, 1,508.31 and 457.86 is: 686.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.84 : 1,508.31 = 457.86 : x
  2. Step 2: Convert to fraction form
    1,005.84/1,508.31 = 457.86/x
  3. Step 3: Cross multiply
    1,005.84x = 1,508.31 × 457.86
  4. Step 4: Simplify right side
    1,005.84x = 690,594.82
  5. Step 5: Solve for x
    x = 690,594.82/1,005.84
  6. Step 6: Final answer
    x = 686.59

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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.