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Finding the Fourth Proportional to 1,141.05, 1,711.08 and 592.05

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Solution

The fourth proportional to 1,141.05, 1,711.08 and 592.05 is: 887.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.05 : 1,711.08 = 592.05 : x
  2. Step 2: Convert to fraction form
    1,141.05/1,711.08 = 592.05/x
  3. Step 3: Cross multiply
    1,141.05x = 1,711.08 × 592.05
  4. Step 4: Simplify right side
    1,141.05x = 1,013,044.91
  5. Step 5: Solve for x
    x = 1,013,044.91/1,141.05
  6. Step 6: Final answer
    x = 887.82

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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.