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Finding the Fourth Proportional to 1,060.64, 1,463.66 and 594.90

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Solution

The fourth proportional to 1,060.64, 1,463.66 and 594.90 is: 820.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.64 : 1,463.66 = 594.90 : x
  2. Step 2: Convert to fraction form
    1,060.64/1,463.66 = 594.90/x
  3. Step 3: Cross multiply
    1,060.64x = 1,463.66 × 594.90
  4. Step 4: Simplify right side
    1,060.64x = 870,731.33
  5. Step 5: Solve for x
    x = 870,731.33/1,060.64
  6. Step 6: Final answer
    x = 820.95

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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.