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Finding the Fourth Proportional to 768.83, 1,153.02 and 275.16

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Solution

The fourth proportional to 768.83, 1,153.02 and 275.16 is: 412.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.83 : 1,153.02 = 275.16 : x
  2. Step 2: Convert to fraction form
    768.83/1,153.02 = 275.16/x
  3. Step 3: Cross multiply
    768.83x = 1,153.02 × 275.16
  4. Step 4: Simplify right side
    768.83x = 317,264.98
  5. Step 5: Solve for x
    x = 317,264.98/768.83
  6. Step 6: Final answer
    x = 412.66

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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.