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Finding the Fourth Proportional to 1,016.47, 1,522.26 and 521.57

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Solution

The fourth proportional to 1,016.47, 1,522.26 and 521.57 is: 781.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.47 : 1,522.26 = 521.57 : x
  2. Step 2: Convert to fraction form
    1,016.47/1,522.26 = 521.57/x
  3. Step 3: Cross multiply
    1,016.47x = 1,522.26 × 521.57
  4. Step 4: Simplify right side
    1,016.47x = 793,971.15
  5. Step 5: Solve for x
    x = 793,971.15/1,016.47
  6. Step 6: Final answer
    x = 781.11

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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.