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Finding the Fourth Proportional to 1,076.88, 1,613.60 and 614.08

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Solution

The fourth proportional to 1,076.88, 1,613.60 and 614.08 is: 920.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.88 : 1,613.60 = 614.08 : x
  2. Step 2: Convert to fraction form
    1,076.88/1,613.60 = 614.08/x
  3. Step 3: Cross multiply
    1,076.88x = 1,613.60 × 614.08
  4. Step 4: Simplify right side
    1,076.88x = 990,879.49
  5. Step 5: Solve for x
    x = 990,879.49/1,076.88
  6. Step 6: Final answer
    x = 920.14

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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.