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Finding the Fourth Proportional to 723.07, 1,084.65 and 290.17

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Solution

The fourth proportional to 723.07, 1,084.65 and 290.17 is: 435.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.07 : 1,084.65 = 290.17 : x
  2. Step 2: Convert to fraction form
    723.07/1,084.65 = 290.17/x
  3. Step 3: Cross multiply
    723.07x = 1,084.65 × 290.17
  4. Step 4: Simplify right side
    723.07x = 314,732.89
  5. Step 5: Solve for x
    x = 314,732.89/723.07
  6. Step 6: Final answer
    x = 435.27

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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.