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Finding the Fourth Proportional to 1,006.10, 1,509.12 and 458.43

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Solution

The fourth proportional to 1,006.10, 1,509.12 and 458.43 is: 687.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.10 : 1,509.12 = 458.43 : x
  2. Step 2: Convert to fraction form
    1,006.10/1,509.12 = 458.43/x
  3. Step 3: Cross multiply
    1,006.10x = 1,509.12 × 458.43
  4. Step 4: Simplify right side
    1,006.10x = 691,818.34
  5. Step 5: Solve for x
    x = 691,818.34/1,006.10
  6. Step 6: Final answer
    x = 687.63

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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.