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Finding the Fourth Proportional to 722.64, 1,084.20 and 430.08

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Solution

The fourth proportional to 722.64, 1,084.20 and 430.08 is: 645.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.64 : 1,084.20 = 430.08 : x
  2. Step 2: Convert to fraction form
    722.64/1,084.20 = 430.08/x
  3. Step 3: Cross multiply
    722.64x = 1,084.20 × 430.08
  4. Step 4: Simplify right side
    722.64x = 466,292.74
  5. Step 5: Solve for x
    x = 466,292.74/722.64
  6. Step 6: Final answer
    x = 645.26

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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.