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Finding the Fourth Proportional to 1,015.02, 1,400.85 and 595.53

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Solution

The fourth proportional to 1,015.02, 1,400.85 and 595.53 is: 821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.02 : 1,400.85 = 595.53 : x
  2. Step 2: Convert to fraction form
    1,015.02/1,400.85 = 595.53/x
  3. Step 3: Cross multiply
    1,015.02x = 1,400.85 × 595.53
  4. Step 4: Simplify right side
    1,015.02x = 834,248.20
  5. Step 5: Solve for x
    x = 834,248.20/1,015.02
  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.