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Finding the Fourth Proportional to 723.94, 1,084.65 and 434.74

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Solution

The fourth proportional to 723.94, 1,084.65 and 434.74 is: 651.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.94 : 1,084.65 = 434.74 : x
  2. Step 2: Convert to fraction form
    723.94/1,084.65 = 434.74/x
  3. Step 3: Cross multiply
    723.94x = 1,084.65 × 434.74
  4. Step 4: Simplify right side
    723.94x = 471,540.74
  5. Step 5: Solve for x
    x = 471,540.74/723.94
  6. Step 6: Final answer
    x = 651.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.