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Finding the Fourth Proportional to 723.70, 1,085.28 and 290.71

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Solution

The fourth proportional to 723.70, 1,085.28 and 290.71 is: 435.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.70 : 1,085.28 = 290.71 : x
  2. Step 2: Convert to fraction form
    723.70/1,085.28 = 290.71/x
  3. Step 3: Cross multiply
    723.70x = 1,085.28 × 290.71
  4. Step 4: Simplify right side
    723.70x = 315,501.75
  5. Step 5: Solve for x
    x = 315,501.75/723.70
  6. Step 6: Final answer
    x = 435.96

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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.