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Finding the Fourth Proportional to 1,153.97, 1,592.42 and 711.91

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Solution

The fourth proportional to 1,153.97, 1,592.42 and 711.91 is: 982.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.97 : 1,592.42 = 711.91 : x
  2. Step 2: Convert to fraction form
    1,153.97/1,592.42 = 711.91/x
  3. Step 3: Cross multiply
    1,153.97x = 1,592.42 × 711.91
  4. Step 4: Simplify right side
    1,153.97x = 1,133,659.72
  5. Step 5: Solve for x
    x = 1,133,659.72/1,153.97
  6. Step 6: Final answer
    x = 982.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.