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Finding the Fourth Proportional to 1,356.92, 1,874.10 and 914.06

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Solution

The fourth proportional to 1,356.92, 1,874.10 and 914.06 is: 1,262.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.92 : 1,874.10 = 914.06 : x
  2. Step 2: Convert to fraction form
    1,356.92/1,874.10 = 914.06/x
  3. Step 3: Cross multiply
    1,356.92x = 1,874.10 × 914.06
  4. Step 4: Simplify right side
    1,356.92x = 1,713,032.28
  5. Step 5: Solve for x
    x = 1,713,032.28/1,356.92
  6. Step 6: Final answer
    x = 1,262.44

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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.