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Finding the Fourth Proportional to 709.70, 1,058.18 and 674.42

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Solution

The fourth proportional to 709.70, 1,058.18 and 674.42 is: 1,005.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.70 : 1,058.18 = 674.42 : x
  2. Step 2: Convert to fraction form
    709.70/1,058.18 = 674.42/x
  3. Step 3: Cross multiply
    709.70x = 1,058.18 × 674.42
  4. Step 4: Simplify right side
    709.70x = 713,657.76
  5. Step 5: Solve for x
    x = 713,657.76/709.70
  6. Step 6: Final answer
    x = 1,005.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.