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Finding the Fourth Proportional to 765.48, 1,146.68 and 354.06

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Solution

The fourth proportional to 765.48, 1,146.68 and 354.06 is: 530.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.48 : 1,146.68 = 354.06 : x
  2. Step 2: Convert to fraction form
    765.48/1,146.68 = 354.06/x
  3. Step 3: Cross multiply
    765.48x = 1,146.68 × 354.06
  4. Step 4: Simplify right side
    765.48x = 405,993.52
  5. Step 5: Solve for x
    x = 405,993.52/765.48
  6. Step 6: Final answer
    x = 530.38

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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.