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Finding the Fourth Proportional to 1,541.85, 2,312.79 and 663.80

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Solution

The fourth proportional to 1,541.85, 2,312.79 and 663.80 is: 995.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.85 : 2,312.79 = 663.80 : x
  2. Step 2: Convert to fraction form
    1,541.85/2,312.79 = 663.80/x
  3. Step 3: Cross multiply
    1,541.85x = 2,312.79 × 663.80
  4. Step 4: Simplify right side
    1,541.85x = 1,535,218.44
  5. Step 5: Solve for x
    x = 1,535,218.44/1,541.85
  6. Step 6: Final answer
    x = 995.70

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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.