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Finding the Fourth Proportional to 1,354.55, 1,869.03 and 765.11

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Solution

The fourth proportional to 1,354.55, 1,869.03 and 765.11 is: 1,055.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.55 : 1,869.03 = 765.11 : x
  2. Step 2: Convert to fraction form
    1,354.55/1,869.03 = 765.11/x
  3. Step 3: Cross multiply
    1,354.55x = 1,869.03 × 765.11
  4. Step 4: Simplify right side
    1,354.55x = 1,430,013.54
  5. Step 5: Solve for x
    x = 1,430,013.54/1,354.55
  6. Step 6: Final answer
    x = 1,055.71

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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.