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Finding the Fourth Proportional to 1,060.29, 1,463.88 and 682.35

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Solution

The fourth proportional to 1,060.29, 1,463.88 and 682.35 is: 942.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.29 : 1,463.88 = 682.35 : x
  2. Step 2: Convert to fraction form
    1,060.29/1,463.88 = 682.35/x
  3. Step 3: Cross multiply
    1,060.29x = 1,463.88 × 682.35
  4. Step 4: Simplify right side
    1,060.29x = 998,878.52
  5. Step 5: Solve for x
    x = 998,878.52/1,060.29
  6. Step 6: Final answer
    x = 942.08

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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.