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Finding the Fourth Proportional to 1,418.59, 2,127.88 and 552.91

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Solution

The fourth proportional to 1,418.59, 2,127.88 and 552.91 is: 829.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.59 : 2,127.88 = 552.91 : x
  2. Step 2: Convert to fraction form
    1,418.59/2,127.88 = 552.91/x
  3. Step 3: Cross multiply
    1,418.59x = 2,127.88 × 552.91
  4. Step 4: Simplify right side
    1,418.59x = 1,176,512.73
  5. Step 5: Solve for x
    x = 1,176,512.73/1,418.59
  6. Step 6: Final answer
    x = 829.35

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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.