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Finding the Fourth Proportional to 1,138.65, 1,569.46 and 765.45

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Solution

The fourth proportional to 1,138.65, 1,569.46 and 765.45 is: 1,055.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.65 : 1,569.46 = 765.45 : x
  2. Step 2: Convert to fraction form
    1,138.65/1,569.46 = 765.45/x
  3. Step 3: Cross multiply
    1,138.65x = 1,569.46 × 765.45
  4. Step 4: Simplify right side
    1,138.65x = 1,201,331.48
  5. Step 5: Solve for x
    x = 1,201,331.48/1,138.65
  6. Step 6: Final answer
    x = 1,055.05

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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.