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Finding the Fourth Proportional to 1,086.71, 1,495.85 and 962.15

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Solution

The fourth proportional to 1,086.71, 1,495.85 and 962.15 is: 1,324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.71 : 1,495.85 = 962.15 : x
  2. Step 2: Convert to fraction form
    1,086.71/1,495.85 = 962.15/x
  3. Step 3: Cross multiply
    1,086.71x = 1,495.85 × 962.15
  4. Step 4: Simplify right side
    1,086.71x = 1,439,219.79
  5. Step 5: Solve for x
    x = 1,439,219.79/1,086.71
  6. Step 6: Final answer
    x = 1,324.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.