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Finding the Fourth Proportional to 1,113.64, 1,536.76 and 616.34

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Solution

The fourth proportional to 1,113.64, 1,536.76 and 616.34 is: 850.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.64 : 1,536.76 = 616.34 : x
  2. Step 2: Convert to fraction form
    1,113.64/1,536.76 = 616.34/x
  3. Step 3: Cross multiply
    1,113.64x = 1,536.76 × 616.34
  4. Step 4: Simplify right side
    1,113.64x = 947,166.66
  5. Step 5: Solve for x
    x = 947,166.66/1,113.64
  6. Step 6: Final answer
    x = 850.51

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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.