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Finding the Fourth Proportional to 959.20, 1,439.21 and 465.88

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Solution

The fourth proportional to 959.20, 1,439.21 and 465.88 is: 699.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.20 : 1,439.21 = 465.88 : x
  2. Step 2: Convert to fraction form
    959.20/1,439.21 = 465.88/x
  3. Step 3: Cross multiply
    959.20x = 1,439.21 × 465.88
  4. Step 4: Simplify right side
    959.20x = 670,492.10
  5. Step 5: Solve for x
    x = 670,492.10/959.20
  6. Step 6: Final answer
    x = 699.01

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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.