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Finding the Fourth Proportional to 722.99, 1,084.52 and 312.26

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Solution

The fourth proportional to 722.99, 1,084.52 and 312.26 is: 468.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.99 : 1,084.52 = 312.26 : x
  2. Step 2: Convert to fraction form
    722.99/1,084.52 = 312.26/x
  3. Step 3: Cross multiply
    722.99x = 1,084.52 × 312.26
  4. Step 4: Simplify right side
    722.99x = 338,647.57
  5. Step 5: Solve for x
    x = 338,647.57/722.99
  6. Step 6: Final answer
    x = 468.40

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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.