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Finding the Fourth Proportional to 1,061.65, 1,591.77 and 541.84

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Solution

The fourth proportional to 1,061.65, 1,591.77 and 541.84 is: 812.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.65 : 1,591.77 = 541.84 : x
  2. Step 2: Convert to fraction form
    1,061.65/1,591.77 = 541.84/x
  3. Step 3: Cross multiply
    1,061.65x = 1,591.77 × 541.84
  4. Step 4: Simplify right side
    1,061.65x = 862,484.66
  5. Step 5: Solve for x
    x = 862,484.66/1,061.65
  6. Step 6: Final answer
    x = 812.40

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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.