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Finding the Fourth Proportional to 1,013.46, 1,398.01 and 765.75

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Solution

The fourth proportional to 1,013.46, 1,398.01 and 765.75 is: 1,056.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.46 : 1,398.01 = 765.75 : x
  2. Step 2: Convert to fraction form
    1,013.46/1,398.01 = 765.75/x
  3. Step 3: Cross multiply
    1,013.46x = 1,398.01 × 765.75
  4. Step 4: Simplify right side
    1,013.46x = 1,070,530.92
  5. Step 5: Solve for x
    x = 1,070,530.92/1,013.46
  6. Step 6: Final answer
    x = 1,056.31

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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.