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Finding the Fourth Proportional to 1,006.00, 1,508.45 and 458.30

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Solution

The fourth proportional to 1,006.00, 1,508.45 and 458.30 is: 687.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.00 : 1,508.45 = 458.30 : x
  2. Step 2: Convert to fraction form
    1,006.00/1,508.45 = 458.30/x
  3. Step 3: Cross multiply
    1,006.00x = 1,508.45 × 458.30
  4. Step 4: Simplify right side
    1,006.00x = 691,322.64
  5. Step 5: Solve for x
    x = 691,322.64/1,006.00
  6. Step 6: Final answer
    x = 687.20

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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.