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Finding the Fourth Proportional to 875.72, 1,305.84 and 754.76

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Solution

The fourth proportional to 875.72, 1,305.84 and 754.76 is: 1,125.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.72 : 1,305.84 = 754.76 : x
  2. Step 2: Convert to fraction form
    875.72/1,305.84 = 754.76/x
  3. Step 3: Cross multiply
    875.72x = 1,305.84 × 754.76
  4. Step 4: Simplify right side
    875.72x = 985,595.80
  5. Step 5: Solve for x
    x = 985,595.80/875.72
  6. Step 6: Final answer
    x = 1,125.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.