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Finding the Fourth Proportional to 765.83, 1,140.08 and 761.27

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Solution

The fourth proportional to 765.83, 1,140.08 and 761.27 is: 1,133.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.83 : 1,140.08 = 761.27 : x
  2. Step 2: Convert to fraction form
    765.83/1,140.08 = 761.27/x
  3. Step 3: Cross multiply
    765.83x = 1,140.08 × 761.27
  4. Step 4: Simplify right side
    765.83x = 867,903.47
  5. Step 5: Solve for x
    x = 867,903.47/765.83
  6. Step 6: Final answer
    x = 1,133.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.