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Finding the Fourth Proportional to 722.68, 1,084.16 and 289.87

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Solution

The fourth proportional to 722.68, 1,084.16 and 289.87 is: 434.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.68 : 1,084.16 = 289.87 : x
  2. Step 2: Convert to fraction form
    722.68/1,084.16 = 289.87/x
  3. Step 3: Cross multiply
    722.68x = 1,084.16 × 289.87
  4. Step 4: Simplify right side
    722.68x = 314,265.46
  5. Step 5: Solve for x
    x = 314,265.46/722.68
  6. Step 6: Final answer
    x = 434.86

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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.