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Finding the Fourth Proportional to 1,134.10, 1,565.94 and 914.09

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Solution

The fourth proportional to 1,134.10, 1,565.94 and 914.09 is: 1,262.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.10 : 1,565.94 = 914.09 : x
  2. Step 2: Convert to fraction form
    1,134.10/1,565.94 = 914.09/x
  3. Step 3: Cross multiply
    1,134.10x = 1,565.94 × 914.09
  4. Step 4: Simplify right side
    1,134.10x = 1,431,410.09
  5. Step 5: Solve for x
    x = 1,431,410.09/1,134.10
  6. Step 6: Final answer
    x = 1,262.16

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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.