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Finding the Fourth Proportional to 1,060.42, 1,463.34 and 594.76

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Solution

The fourth proportional to 1,060.42, 1,463.34 and 594.76 is: 820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.42 : 1,463.34 = 594.76 : x
  2. Step 2: Convert to fraction form
    1,060.42/1,463.34 = 594.76/x
  3. Step 3: Cross multiply
    1,060.42x = 1,463.34 × 594.76
  4. Step 4: Simplify right side
    1,060.42x = 870,336.10
  5. Step 5: Solve for x
    x = 870,336.10/1,060.42
  6. Step 6: Final answer
    x = 820.75

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