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Finding the Fourth Proportional to 765.13, 1,147.56 and 302.77

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Solution

The fourth proportional to 765.13, 1,147.56 and 302.77 is: 454.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.13 : 1,147.56 = 302.77 : x
  2. Step 2: Convert to fraction form
    765.13/1,147.56 = 302.77/x
  3. Step 3: Cross multiply
    765.13x = 1,147.56 × 302.77
  4. Step 4: Simplify right side
    765.13x = 347,446.74
  5. Step 5: Solve for x
    x = 347,446.74/765.13
  6. Step 6: Final answer
    x = 454.10

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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.