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Finding the Fourth Proportional to 1,154.70, 1,592.93 and 839.48

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Solution

The fourth proportional to 1,154.70, 1,592.93 and 839.48 is: 1,158.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.70 : 1,592.93 = 839.48 : x
  2. Step 2: Convert to fraction form
    1,154.70/1,592.93 = 839.48/x
  3. Step 3: Cross multiply
    1,154.70x = 1,592.93 × 839.48
  4. Step 4: Simplify right side
    1,154.70x = 1,337,227.01
  5. Step 5: Solve for x
    x = 1,337,227.01/1,154.70
  6. Step 6: Final answer
    x = 1,158.07

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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.