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Finding the Fourth Proportional to 1,142.27, 1,713.53 and 401.65

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Solution

The fourth proportional to 1,142.27, 1,713.53 and 401.65 is: 602.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.27 : 1,713.53 = 401.65 : x
  2. Step 2: Convert to fraction form
    1,142.27/1,713.53 = 401.65/x
  3. Step 3: Cross multiply
    1,142.27x = 1,713.53 × 401.65
  4. Step 4: Simplify right side
    1,142.27x = 688,239.32
  5. Step 5: Solve for x
    x = 688,239.32/1,142.27
  6. Step 6: Final answer
    x = 602.52

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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.