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Finding the Fourth Proportional to 1,007.27, 1,510.19 and 458.69

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Solution

The fourth proportional to 1,007.27, 1,510.19 and 458.69 is: 687.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.27 : 1,510.19 = 458.69 : x
  2. Step 2: Convert to fraction form
    1,007.27/1,510.19 = 458.69/x
  3. Step 3: Cross multiply
    1,007.27x = 1,510.19 × 458.69
  4. Step 4: Simplify right side
    1,007.27x = 692,706.76
  5. Step 5: Solve for x
    x = 692,706.76/1,007.27
  6. Step 6: Final answer
    x = 687.71

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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.