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Finding the Fourth Proportional to 1,077.71, 1,616.56 and 428.43

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Solution

The fourth proportional to 1,077.71, 1,616.56 and 428.43 is: 642.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.71 : 1,616.56 = 428.43 : x
  2. Step 2: Convert to fraction form
    1,077.71/1,616.56 = 428.43/x
  3. Step 3: Cross multiply
    1,077.71x = 1,616.56 × 428.43
  4. Step 4: Simplify right side
    1,077.71x = 692,587.79
  5. Step 5: Solve for x
    x = 692,587.79/1,077.71
  6. Step 6: Final answer
    x = 642.65

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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.