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Finding the Fourth Proportional to 922.32, 1,270.08 and 824.04

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Solution

The fourth proportional to 922.32, 1,270.08 and 824.04 is: 1,134.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.32 : 1,270.08 = 824.04 : x
  2. Step 2: Convert to fraction form
    922.32/1,270.08 = 824.04/x
  3. Step 3: Cross multiply
    922.32x = 1,270.08 × 824.04
  4. Step 4: Simplify right side
    922.32x = 1,046,596.72
  5. Step 5: Solve for x
    x = 1,046,596.72/922.32
  6. Step 6: Final answer
    x = 1,134.74

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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.