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Finding the Fourth Proportional to 1,013.74, 1,521.51 and 520.49

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Solution

The fourth proportional to 1,013.74, 1,521.51 and 520.49 is: 781.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.74 : 1,521.51 = 520.49 : x
  2. Step 2: Convert to fraction form
    1,013.74/1,521.51 = 520.49/x
  3. Step 3: Cross multiply
    1,013.74x = 1,521.51 × 520.49
  4. Step 4: Simplify right side
    1,013.74x = 791,927.64
  5. Step 5: Solve for x
    x = 791,927.64/1,013.74
  6. Step 6: Final answer
    x = 781.19

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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.