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Finding the Fourth Proportional to 769.94, 1,153.47 and 562.16

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Solution

The fourth proportional to 769.94, 1,153.47 and 562.16 is: 842.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.94 : 1,153.47 = 562.16 : x
  2. Step 2: Convert to fraction form
    769.94/1,153.47 = 562.16/x
  3. Step 3: Cross multiply
    769.94x = 1,153.47 × 562.16
  4. Step 4: Simplify right side
    769.94x = 648,434.70
  5. Step 5: Solve for x
    x = 648,434.70/769.94
  6. Step 6: Final answer
    x = 842.19

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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.