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Finding the Fourth Proportional to 1,142.07, 1,711.62 and 555.93

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Solution

The fourth proportional to 1,142.07, 1,711.62 and 555.93 is: 833.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.07 : 1,711.62 = 555.93 : x
  2. Step 2: Convert to fraction form
    1,142.07/1,711.62 = 555.93/x
  3. Step 3: Cross multiply
    1,142.07x = 1,711.62 × 555.93
  4. Step 4: Simplify right side
    1,142.07x = 951,540.91
  5. Step 5: Solve for x
    x = 951,540.91/1,142.07
  6. Step 6: Final answer
    x = 833.17

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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.