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Finding the Fourth Proportional to 709.40, 1,062.75 and 416.18

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Solution

The fourth proportional to 709.40, 1,062.75 and 416.18 is: 623.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.40 : 1,062.75 = 416.18 : x
  2. Step 2: Convert to fraction form
    709.40/1,062.75 = 416.18/x
  3. Step 3: Cross multiply
    709.40x = 1,062.75 × 416.18
  4. Step 4: Simplify right side
    709.40x = 442,295.30
  5. Step 5: Solve for x
    x = 442,295.30/709.40
  6. Step 6: Final answer
    x = 623.48

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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.