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Finding the Fourth Proportional to 866.63, 1,306.21 and 746.35

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Solution

The fourth proportional to 866.63, 1,306.21 and 746.35 is: 1,124.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.63 : 1,306.21 = 746.35 : x
  2. Step 2: Convert to fraction form
    866.63/1,306.21 = 746.35/x
  3. Step 3: Cross multiply
    866.63x = 1,306.21 × 746.35
  4. Step 4: Simplify right side
    866.63x = 974,886.10
  5. Step 5: Solve for x
    x = 974,886.10/866.63
  6. Step 6: Final answer
    x = 1,124.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.