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Finding the Fourth Proportional to 969.59, 1,454.34 and 421.77

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Solution

The fourth proportional to 969.59, 1,454.34 and 421.77 is: 632.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.59 : 1,454.34 = 421.77 : x
  2. Step 2: Convert to fraction form
    969.59/1,454.34 = 421.77/x
  3. Step 3: Cross multiply
    969.59x = 1,454.34 × 421.77
  4. Step 4: Simplify right side
    969.59x = 613,394.40
  5. Step 5: Solve for x
    x = 613,394.40/969.59
  6. Step 6: Final answer
    x = 632.64

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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.