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Finding the Fourth Proportional to 722.64, 1,084.10 and 235.74

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Solution

The fourth proportional to 722.64, 1,084.10 and 235.74 is: 353.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.64 : 1,084.10 = 235.74 : x
  2. Step 2: Convert to fraction form
    722.64/1,084.10 = 235.74/x
  3. Step 3: Cross multiply
    722.64x = 1,084.10 × 235.74
  4. Step 4: Simplify right side
    722.64x = 255,565.73
  5. Step 5: Solve for x
    x = 255,565.73/722.64
  6. Step 6: Final answer
    x = 353.66

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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.