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Finding the Fourth Proportional to 1,013.85, 1,510.31 and 966.87

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Solution

The fourth proportional to 1,013.85, 1,510.31 and 966.87 is: 1,440.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.85 : 1,510.31 = 966.87 : x
  2. Step 2: Convert to fraction form
    1,013.85/1,510.31 = 966.87/x
  3. Step 3: Cross multiply
    1,013.85x = 1,510.31 × 966.87
  4. Step 4: Simplify right side
    1,013.85x = 1,460,275.85
  5. Step 5: Solve for x
    x = 1,460,275.85/1,013.85
  6. Step 6: Final answer
    x = 1,440.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.