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Finding the Fourth Proportional to 1,015.26, 1,400.82 and 595.68

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Solution

The fourth proportional to 1,015.26, 1,400.82 and 595.68 is: 821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.26 : 1,400.82 = 595.68 : x
  2. Step 2: Convert to fraction form
    1,015.26/1,400.82 = 595.68/x
  3. Step 3: Cross multiply
    1,015.26x = 1,400.82 × 595.68
  4. Step 4: Simplify right side
    1,015.26x = 834,440.46
  5. Step 5: Solve for x
    x = 834,440.46/1,015.26
  6. Step 6: Final answer
    x = 821.90

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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.