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Finding the Fourth Proportional to 1,005.96, 1,509.17 and 458.28

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Solution

The fourth proportional to 1,005.96, 1,509.17 and 458.28 is: 687.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.96 : 1,509.17 = 458.28 : x
  2. Step 2: Convert to fraction form
    1,005.96/1,509.17 = 458.28/x
  3. Step 3: Cross multiply
    1,005.96x = 1,509.17 × 458.28
  4. Step 4: Simplify right side
    1,005.96x = 691,620.14
  5. Step 5: Solve for x
    x = 691,620.14/1,005.96
  6. Step 6: Final answer
    x = 687.52

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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.