Home / 1,192.13-1,787.67-461.30

Finding the Fourth Proportional to 1,192.13, 1,787.67 and 461.30

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Solution

The fourth proportional to 1,192.13, 1,787.67 and 461.30 is: 691.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.13 : 1,787.67 = 461.30 : x
  2. Step 2: Convert to fraction form
    1,192.13/1,787.67 = 461.30/x
  3. Step 3: Cross multiply
    1,192.13x = 1,787.67 × 461.30
  4. Step 4: Simplify right side
    1,192.13x = 824,652.17
  5. Step 5: Solve for x
    x = 824,652.17/1,192.13
  6. Step 6: Final answer
    x = 691.75

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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.