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Finding the Fourth Proportional to 1,113.16, 1,536.08 and 615.78

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Solution

The fourth proportional to 1,113.16, 1,536.08 and 615.78 is: 849.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.16 : 1,536.08 = 615.78 : x
  2. Step 2: Convert to fraction form
    1,113.16/1,536.08 = 615.78/x
  3. Step 3: Cross multiply
    1,113.16x = 1,536.08 × 615.78
  4. Step 4: Simplify right side
    1,113.16x = 945,887.34
  5. Step 5: Solve for x
    x = 945,887.34/1,113.16
  6. Step 6: Final answer
    x = 849.73

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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.