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Finding the Fourth Proportional to 768.62, 1,060.61 and 473.83

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Solution

The fourth proportional to 768.62, 1,060.61 and 473.83 is: 653.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.62 : 1,060.61 = 473.83 : x
  2. Step 2: Convert to fraction form
    768.62/1,060.61 = 473.83/x
  3. Step 3: Cross multiply
    768.62x = 1,060.61 × 473.83
  4. Step 4: Simplify right side
    768.62x = 502,543.82
  5. Step 5: Solve for x
    x = 502,543.82/768.62
  6. Step 6: Final answer
    x = 653.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.