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Finding the Fourth Proportional to 722.40, 1,084.16 and 289.92

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Solution

The fourth proportional to 722.40, 1,084.16 and 289.92 is: 435.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.40 : 1,084.16 = 289.92 : x
  2. Step 2: Convert to fraction form
    722.40/1,084.16 = 289.92/x
  3. Step 3: Cross multiply
    722.40x = 1,084.16 × 289.92
  4. Step 4: Simplify right side
    722.40x = 314,319.67
  5. Step 5: Solve for x
    x = 314,319.67/722.40
  6. Step 6: Final answer
    x = 435.10

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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.