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Finding the Fourth Proportional to 1,047.92, 1,446.08 and 575.80

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Solution

The fourth proportional to 1,047.92, 1,446.08 and 575.80 is: 794.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.92 : 1,446.08 = 575.80 : x
  2. Step 2: Convert to fraction form
    1,047.92/1,446.08 = 575.80/x
  3. Step 3: Cross multiply
    1,047.92x = 1,446.08 × 575.80
  4. Step 4: Simplify right side
    1,047.92x = 832,652.86
  5. Step 5: Solve for x
    x = 832,652.86/1,047.92
  6. Step 6: Final answer
    x = 794.58

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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.