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Finding the Fourth Proportional to 1,006.65, 1,510.21 and 458.69

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Solution

The fourth proportional to 1,006.65, 1,510.21 and 458.69 is: 688.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.65 : 1,510.21 = 458.69 : x
  2. Step 2: Convert to fraction form
    1,006.65/1,510.21 = 458.69/x
  3. Step 3: Cross multiply
    1,006.65x = 1,510.21 × 458.69
  4. Step 4: Simplify right side
    1,006.65x = 692,718.22
  5. Step 5: Solve for x
    x = 692,718.22/1,006.65
  6. Step 6: Final answer
    x = 688.14

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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.