Home / 1,161.59-1,743.08-614.16

Finding the Fourth Proportional to 1,161.59, 1,743.08 and 614.16

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Solution

The fourth proportional to 1,161.59, 1,743.08 and 614.16 is: 921.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.59 : 1,743.08 = 614.16 : x
  2. Step 2: Convert to fraction form
    1,161.59/1,743.08 = 614.16/x
  3. Step 3: Cross multiply
    1,161.59x = 1,743.08 × 614.16
  4. Step 4: Simplify right side
    1,161.59x = 1,070,526.94
  5. Step 5: Solve for x
    x = 1,070,526.94/1,161.59
  6. Step 6: Final answer
    x = 921.61

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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.