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Finding the Fourth Proportional to 1,142.69, 1,714.03 and 373.19

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Solution

The fourth proportional to 1,142.69, 1,714.03 and 373.19 is: 559.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.69 : 1,714.03 = 373.19 : x
  2. Step 2: Convert to fraction form
    1,142.69/1,714.03 = 373.19/x
  3. Step 3: Cross multiply
    1,142.69x = 1,714.03 × 373.19
  4. Step 4: Simplify right side
    1,142.69x = 639,655.04
  5. Step 5: Solve for x
    x = 639,655.04/1,142.69
  6. Step 6: Final answer
    x = 559.78

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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.