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Finding the Fourth Proportional to 765.80, 1,148.28 and 303.11

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Solution

The fourth proportional to 765.80, 1,148.28 and 303.11 is: 454.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.80 : 1,148.28 = 303.11 : x
  2. Step 2: Convert to fraction form
    765.80/1,148.28 = 303.11/x
  3. Step 3: Cross multiply
    765.80x = 1,148.28 × 303.11
  4. Step 4: Simplify right side
    765.80x = 348,055.15
  5. Step 5: Solve for x
    x = 348,055.15/765.80
  6. Step 6: Final answer
    x = 454.50

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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.