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Finding the Fourth Proportional to 723.32, 1,084.98 and 290.51

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Solution

The fourth proportional to 723.32, 1,084.98 and 290.51 is: 435.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.32 : 1,084.98 = 290.51 : x
  2. Step 2: Convert to fraction form
    723.32/1,084.98 = 290.51/x
  3. Step 3: Cross multiply
    723.32x = 1,084.98 × 290.51
  4. Step 4: Simplify right side
    723.32x = 315,197.54
  5. Step 5: Solve for x
    x = 315,197.54/723.32
  6. Step 6: Final answer
    x = 435.77

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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.