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Finding the Fourth Proportional to 1,077.23, 1,613.54 and 614.77

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Solution

The fourth proportional to 1,077.23, 1,613.54 and 614.77 is: 920.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.23 : 1,613.54 = 614.77 : x
  2. Step 2: Convert to fraction form
    1,077.23/1,613.54 = 614.77/x
  3. Step 3: Cross multiply
    1,077.23x = 1,613.54 × 614.77
  4. Step 4: Simplify right side
    1,077.23x = 991,953.49
  5. Step 5: Solve for x
    x = 991,953.49/1,077.23
  6. Step 6: Final answer
    x = 920.84

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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.