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Finding the Fourth Proportional to 1,108.11, 1,528.56 and 693.39

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Solution

The fourth proportional to 1,108.11, 1,528.56 and 693.39 is: 956.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.11 : 1,528.56 = 693.39 : x
  2. Step 2: Convert to fraction form
    1,108.11/1,528.56 = 693.39/x
  3. Step 3: Cross multiply
    1,108.11x = 1,528.56 × 693.39
  4. Step 4: Simplify right side
    1,108.11x = 1,059,888.22
  5. Step 5: Solve for x
    x = 1,059,888.22/1,108.11
  6. Step 6: Final answer
    x = 956.48

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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.