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Finding the Fourth Proportional to 1,141.13, 1,711.70 and 653.84

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Solution

The fourth proportional to 1,141.13, 1,711.70 and 653.84 is: 980.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.13 : 1,711.70 = 653.84 : x
  2. Step 2: Convert to fraction form
    1,141.13/1,711.70 = 653.84/x
  3. Step 3: Cross multiply
    1,141.13x = 1,711.70 × 653.84
  4. Step 4: Simplify right side
    1,141.13x = 1,119,174.66
  5. Step 5: Solve for x
    x = 1,119,174.66/1,141.13
  6. Step 6: Final answer
    x = 980.76

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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.