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Finding the Fourth Proportional to 1,242.34, 1,863.51 and 511.52

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Solution

The fourth proportional to 1,242.34, 1,863.51 and 511.52 is: 767.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.34 : 1,863.51 = 511.52 : x
  2. Step 2: Convert to fraction form
    1,242.34/1,863.51 = 511.52/x
  3. Step 3: Cross multiply
    1,242.34x = 1,863.51 × 511.52
  4. Step 4: Simplify right side
    1,242.34x = 953,211.40
  5. Step 5: Solve for x
    x = 953,211.40/1,242.34
  6. Step 6: Final answer
    x = 767.27

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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.