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Finding the Fourth Proportional to 769.95, 1,154.52 and 495.77

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Solution

The fourth proportional to 769.95, 1,154.52 and 495.77 is: 743.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.95 : 1,154.52 = 495.77 : x
  2. Step 2: Convert to fraction form
    769.95/1,154.52 = 495.77/x
  3. Step 3: Cross multiply
    769.95x = 1,154.52 × 495.77
  4. Step 4: Simplify right side
    769.95x = 572,376.38
  5. Step 5: Solve for x
    x = 572,376.38/769.95
  6. Step 6: Final answer
    x = 743.39

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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.