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Finding the Fourth Proportional to 1,062.65, 1,593.95 and 446.78

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Solution

The fourth proportional to 1,062.65, 1,593.95 and 446.78 is: 670.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.65 : 1,593.95 = 446.78 : x
  2. Step 2: Convert to fraction form
    1,062.65/1,593.95 = 446.78/x
  3. Step 3: Cross multiply
    1,062.65x = 1,593.95 × 446.78
  4. Step 4: Simplify right side
    1,062.65x = 712,134.78
  5. Step 5: Solve for x
    x = 712,134.78/1,062.65
  6. Step 6: Final answer
    x = 670.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.