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Finding the Fourth Proportional to 1,187.92, 1,781.88 and 678.16

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Solution

The fourth proportional to 1,187.92, 1,781.88 and 678.16 is: 1,017.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.92 : 1,781.88 = 678.16 : x
  2. Step 2: Convert to fraction form
    1,187.92/1,781.88 = 678.16/x
  3. Step 3: Cross multiply
    1,187.92x = 1,781.88 × 678.16
  4. Step 4: Simplify right side
    1,187.92x = 1,208,399.74
  5. Step 5: Solve for x
    x = 1,208,399.74/1,187.92
  6. Step 6: Final answer
    x = 1,017.24

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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.