Home / 1,192.04-1,787.72-461.20

Finding the Fourth Proportional to 1,192.04, 1,787.72 and 461.20

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Solution

The fourth proportional to 1,192.04, 1,787.72 and 461.20 is: 691.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.04 : 1,787.72 = 461.20 : x
  2. Step 2: Convert to fraction form
    1,192.04/1,787.72 = 461.20/x
  3. Step 3: Cross multiply
    1,192.04x = 1,787.72 × 461.20
  4. Step 4: Simplify right side
    1,192.04x = 824,496.46
  5. Step 5: Solve for x
    x = 824,496.46/1,192.04
  6. Step 6: Final answer
    x = 691.67

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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.