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Finding the Fourth Proportional to 1,006.86, 1,510.32 and 520.86

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Solution

The fourth proportional to 1,006.86, 1,510.32 and 520.86 is: 781.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.86 : 1,510.32 = 520.86 : x
  2. Step 2: Convert to fraction form
    1,006.86/1,510.32 = 520.86/x
  3. Step 3: Cross multiply
    1,006.86x = 1,510.32 × 520.86
  4. Step 4: Simplify right side
    1,006.86x = 786,665.28
  5. Step 5: Solve for x
    x = 786,665.28/1,006.86
  6. Step 6: Final answer
    x = 781.31

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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.