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Finding the Fourth Proportional to 723.84, 1,084.84 and 463.74

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Solution

The fourth proportional to 723.84, 1,084.84 and 463.74 is: 695.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.84 : 1,084.84 = 463.74 : x
  2. Step 2: Convert to fraction form
    723.84/1,084.84 = 463.74/x
  3. Step 3: Cross multiply
    723.84x = 1,084.84 × 463.74
  4. Step 4: Simplify right side
    723.84x = 503,083.70
  5. Step 5: Solve for x
    x = 503,083.70/723.84
  6. Step 6: Final answer
    x = 695.02

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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.