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Finding the Fourth Proportional to 1,061.04, 1,591.07 and 505.90

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Solution

The fourth proportional to 1,061.04, 1,591.07 and 505.90 is: 758.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.04 : 1,591.07 = 505.90 : x
  2. Step 2: Convert to fraction form
    1,061.04/1,591.07 = 505.90/x
  3. Step 3: Cross multiply
    1,061.04x = 1,591.07 × 505.90
  4. Step 4: Simplify right side
    1,061.04x = 804,914.36
  5. Step 5: Solve for x
    x = 804,914.36/1,061.04
  6. Step 6: Final answer
    x = 758.61

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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.