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Finding the Fourth Proportional to 765.96, 1,146.36 and 488.20

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Solution

The fourth proportional to 765.96, 1,146.36 and 488.20 is: 730.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.96 : 1,146.36 = 488.20 : x
  2. Step 2: Convert to fraction form
    765.96/1,146.36 = 488.20/x
  3. Step 3: Cross multiply
    765.96x = 1,146.36 × 488.20
  4. Step 4: Simplify right side
    765.96x = 559,652.95
  5. Step 5: Solve for x
    x = 559,652.95/765.96
  6. Step 6: Final answer
    x = 730.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.