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Finding the Fourth Proportional to 969.23, 1,454.58 and 709.91

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Solution

The fourth proportional to 969.23, 1,454.58 and 709.91 is: 1,065.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.23 : 1,454.58 = 709.91 : x
  2. Step 2: Convert to fraction form
    969.23/1,454.58 = 709.91/x
  3. Step 3: Cross multiply
    969.23x = 1,454.58 × 709.91
  4. Step 4: Simplify right side
    969.23x = 1,032,613.61
  5. Step 5: Solve for x
    x = 1,032,613.61/969.23
  6. Step 6: Final answer
    x = 1,065.40

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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.