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Finding the Fourth Proportional to 765.30, 1,148.02 and 245.17

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Solution

The fourth proportional to 765.30, 1,148.02 and 245.17 is: 367.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.30 : 1,148.02 = 245.17 : x
  2. Step 2: Convert to fraction form
    765.30/1,148.02 = 245.17/x
  3. Step 3: Cross multiply
    765.30x = 1,148.02 × 245.17
  4. Step 4: Simplify right side
    765.30x = 281,453.71
  5. Step 5: Solve for x
    x = 281,453.71/765.30
  6. Step 6: Final answer
    x = 367.77

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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.