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Finding the Fourth Proportional to 1,060.25, 1,463.15 and 594.65

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Solution

The fourth proportional to 1,060.25, 1,463.15 and 594.65 is: 820.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.25 : 1,463.15 = 594.65 : x
  2. Step 2: Convert to fraction form
    1,060.25/1,463.15 = 594.65/x
  3. Step 3: Cross multiply
    1,060.25x = 1,463.15 × 594.65
  4. Step 4: Simplify right side
    1,060.25x = 870,059.17
  5. Step 5: Solve for x
    x = 870,059.17/1,060.25
  6. Step 6: Final answer
    x = 820.62

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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.