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Finding the Fourth Proportional to 1,006.22, 1,508.83 and 457.63

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Solution

The fourth proportional to 1,006.22, 1,508.83 and 457.63 is: 686.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.22 : 1,508.83 = 457.63 : x
  2. Step 2: Convert to fraction form
    1,006.22/1,508.83 = 457.63/x
  3. Step 3: Cross multiply
    1,006.22x = 1,508.83 × 457.63
  4. Step 4: Simplify right side
    1,006.22x = 690,485.87
  5. Step 5: Solve for x
    x = 690,485.87/1,006.22
  6. Step 6: Final answer
    x = 686.22

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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.