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Finding the Fourth Proportional to 930.83, 1,397.46 and 787.46

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Solution

The fourth proportional to 930.83, 1,397.46 and 787.46 is: 1,182.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.83 : 1,397.46 = 787.46 : x
  2. Step 2: Convert to fraction form
    930.83/1,397.46 = 787.46/x
  3. Step 3: Cross multiply
    930.83x = 1,397.46 × 787.46
  4. Step 4: Simplify right side
    930.83x = 1,100,443.85
  5. Step 5: Solve for x
    x = 1,100,443.85/930.83
  6. Step 6: Final answer
    x = 1,182.22

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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.