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Finding the Fourth Proportional to 969.12, 1,337.55 and 576.09

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Solution

The fourth proportional to 969.12, 1,337.55 and 576.09 is: 795.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.12 : 1,337.55 = 576.09 : x
  2. Step 2: Convert to fraction form
    969.12/1,337.55 = 576.09/x
  3. Step 3: Cross multiply
    969.12x = 1,337.55 × 576.09
  4. Step 4: Simplify right side
    969.12x = 770,549.18
  5. Step 5: Solve for x
    x = 770,549.18/969.12
  6. Step 6: Final answer
    x = 795.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.