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Finding the Fourth Proportional to 765.55, 1,146.79 and 354.10

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Solution

The fourth proportional to 765.55, 1,146.79 and 354.10 is: 530.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.55 : 1,146.79 = 354.10 : x
  2. Step 2: Convert to fraction form
    765.55/1,146.79 = 354.10/x
  3. Step 3: Cross multiply
    765.55x = 1,146.79 × 354.10
  4. Step 4: Simplify right side
    765.55x = 406,078.34
  5. Step 5: Solve for x
    x = 406,078.34/765.55
  6. Step 6: Final answer
    x = 530.44

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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.