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Finding the Fourth Proportional to 1,007.66, 1,510.68 and 459.56

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Solution

The fourth proportional to 1,007.66, 1,510.68 and 459.56 is: 688.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.66 : 1,510.68 = 459.56 : x
  2. Step 2: Convert to fraction form
    1,007.66/1,510.68 = 459.56/x
  3. Step 3: Cross multiply
    1,007.66x = 1,510.68 × 459.56
  4. Step 4: Simplify right side
    1,007.66x = 694,248.10
  5. Step 5: Solve for x
    x = 694,248.10/1,007.66
  6. Step 6: Final answer
    x = 688.97

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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.