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Finding the Fourth Proportional to 765.38, 1,148.14 and 303.10

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Solution

The fourth proportional to 765.38, 1,148.14 and 303.10 is: 454.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.38 : 1,148.14 = 303.10 : x
  2. Step 2: Convert to fraction form
    765.38/1,148.14 = 303.10/x
  3. Step 3: Cross multiply
    765.38x = 1,148.14 × 303.10
  4. Step 4: Simplify right side
    765.38x = 348,001.23
  5. Step 5: Solve for x
    x = 348,001.23/765.38
  6. Step 6: Final answer
    x = 454.68

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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.