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Finding the Fourth Proportional to 1,114.32, 1,537.20 and 765.12

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Solution

The fourth proportional to 1,114.32, 1,537.20 and 765.12 is: 1,055.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.32 : 1,537.20 = 765.12 : x
  2. Step 2: Convert to fraction form
    1,114.32/1,537.20 = 765.12/x
  3. Step 3: Cross multiply
    1,114.32x = 1,537.20 × 765.12
  4. Step 4: Simplify right side
    1,114.32x = 1,176,142.46
  5. Step 5: Solve for x
    x = 1,176,142.46/1,114.32
  6. Step 6: Final answer
    x = 1,055.48

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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.