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Finding the Fourth Proportional to 1,006.92, 1,510.98 and 519.98

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Solution

The fourth proportional to 1,006.92, 1,510.98 and 519.98 is: 780.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.92 : 1,510.98 = 519.98 : x
  2. Step 2: Convert to fraction form
    1,006.92/1,510.98 = 519.98/x
  3. Step 3: Cross multiply
    1,006.92x = 1,510.98 × 519.98
  4. Step 4: Simplify right side
    1,006.92x = 785,679.38
  5. Step 5: Solve for x
    x = 785,679.38/1,006.92
  6. Step 6: Final answer
    x = 780.28

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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.