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Finding the Fourth Proportional to 1,356.17, 1,872.15 and 914.78

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Solution

The fourth proportional to 1,356.17, 1,872.15 and 914.78 is: 1,262.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.17 : 1,872.15 = 914.78 : x
  2. Step 2: Convert to fraction form
    1,356.17/1,872.15 = 914.78/x
  3. Step 3: Cross multiply
    1,356.17x = 1,872.15 × 914.78
  4. Step 4: Simplify right side
    1,356.17x = 1,712,605.38
  5. Step 5: Solve for x
    x = 1,712,605.38/1,356.17
  6. Step 6: Final answer
    x = 1,262.82

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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.