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Finding the Fourth Proportional to 1,153.95, 1,592.11 and 839.87

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Solution

The fourth proportional to 1,153.95, 1,592.11 and 839.87 is: 1,158.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.95 : 1,592.11 = 839.87 : x
  2. Step 2: Convert to fraction form
    1,153.95/1,592.11 = 839.87/x
  3. Step 3: Cross multiply
    1,153.95x = 1,592.11 × 839.87
  4. Step 4: Simplify right side
    1,153.95x = 1,337,159.76
  5. Step 5: Solve for x
    x = 1,337,159.76/1,153.95
  6. Step 6: Final answer
    x = 1,158.77

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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.