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Finding the Fourth Proportional to 765.10, 1,054.14 and 540.92

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Solution

The fourth proportional to 765.10, 1,054.14 and 540.92 is: 745.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.10 : 1,054.14 = 540.92 : x
  2. Step 2: Convert to fraction form
    765.10/1,054.14 = 540.92/x
  3. Step 3: Cross multiply
    765.10x = 1,054.14 × 540.92
  4. Step 4: Simplify right side
    765.10x = 570,205.41
  5. Step 5: Solve for x
    x = 570,205.41/765.10
  6. Step 6: Final answer
    x = 745.27

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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.