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Finding the Fourth Proportional to 722.88, 1,084.53 and 260.65

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Solution

The fourth proportional to 722.88, 1,084.53 and 260.65 is: 391.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.88 : 1,084.53 = 260.65 : x
  2. Step 2: Convert to fraction form
    722.88/1,084.53 = 260.65/x
  3. Step 3: Cross multiply
    722.88x = 1,084.53 × 260.65
  4. Step 4: Simplify right side
    722.88x = 282,676.02
  5. Step 5: Solve for x
    x = 282,676.02/722.88
  6. Step 6: Final answer
    x = 391.04

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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.