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Finding the Fourth Proportional to 1,015.29, 1,400.83 and 595.47

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Solution

The fourth proportional to 1,015.29, 1,400.83 and 595.47 is: 821.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.29 : 1,400.83 = 595.47 : x
  2. Step 2: Convert to fraction form
    1,015.29/1,400.83 = 595.47/x
  3. Step 3: Cross multiply
    1,015.29x = 1,400.83 × 595.47
  4. Step 4: Simplify right side
    1,015.29x = 834,152.24
  5. Step 5: Solve for x
    x = 834,152.24/1,015.29
  6. Step 6: Final answer
    x = 821.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.