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Finding the Fourth Proportional to 1,142.47, 1,713.21 and 484.65

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Solution

The fourth proportional to 1,142.47, 1,713.21 and 484.65 is: 726.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.47 : 1,713.21 = 484.65 : x
  2. Step 2: Convert to fraction form
    1,142.47/1,713.21 = 484.65/x
  3. Step 3: Cross multiply
    1,142.47x = 1,713.21 × 484.65
  4. Step 4: Simplify right side
    1,142.47x = 830,307.23
  5. Step 5: Solve for x
    x = 830,307.23/1,142.47
  6. Step 6: Final answer
    x = 726.77

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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.