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Finding the Fourth Proportional to 1,156.18, 1,595.87 and 825.57

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Solution

The fourth proportional to 1,156.18, 1,595.87 and 825.57 is: 1,139.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.18 : 1,595.87 = 825.57 : x
  2. Step 2: Convert to fraction form
    1,156.18/1,595.87 = 825.57/x
  3. Step 3: Cross multiply
    1,156.18x = 1,595.87 × 825.57
  4. Step 4: Simplify right side
    1,156.18x = 1,317,502.40
  5. Step 5: Solve for x
    x = 1,317,502.40/1,156.18
  6. Step 6: Final answer
    x = 1,139.53

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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.