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Finding the Fourth Proportional to 1,011.85, 1,515.34 and 686.23

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Solution

The fourth proportional to 1,011.85, 1,515.34 and 686.23 is: 1,027.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.85 : 1,515.34 = 686.23 : x
  2. Step 2: Convert to fraction form
    1,011.85/1,515.34 = 686.23/x
  3. Step 3: Cross multiply
    1,011.85x = 1,515.34 × 686.23
  4. Step 4: Simplify right side
    1,011.85x = 1,039,871.77
  5. Step 5: Solve for x
    x = 1,039,871.77/1,011.85
  6. Step 6: Final answer
    x = 1,027.69

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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.