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Finding the Fourth Proportional to 1,138.42, 1,569.56 and 765.11

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Solution

The fourth proportional to 1,138.42, 1,569.56 and 765.11 is: 1,054.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.42 : 1,569.56 = 765.11 : x
  2. Step 2: Convert to fraction form
    1,138.42/1,569.56 = 765.11/x
  3. Step 3: Cross multiply
    1,138.42x = 1,569.56 × 765.11
  4. Step 4: Simplify right side
    1,138.42x = 1,200,886.05
  5. Step 5: Solve for x
    x = 1,200,886.05/1,138.42
  6. Step 6: Final answer
    x = 1,054.87

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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.