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Finding the Fourth Proportional to 1,113.14, 1,536.07 and 615.75

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Solution

The fourth proportional to 1,113.14, 1,536.07 and 615.75 is: 849.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.14 : 1,536.07 = 615.75 : x
  2. Step 2: Convert to fraction form
    1,113.14/1,536.07 = 615.75/x
  3. Step 3: Cross multiply
    1,113.14x = 1,536.07 × 615.75
  4. Step 4: Simplify right side
    1,113.14x = 945,834.79
  5. Step 5: Solve for x
    x = 945,834.79/1,113.14
  6. Step 6: Final answer
    x = 849.70

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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.