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Finding the Fourth Proportional to 823.30, 1,256.62 and 823.30

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Solution

The fourth proportional to 823.30, 1,256.62 and 823.30 is: 1,256.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.30 : 1,256.62 = 823.30 : x
  2. Step 2: Convert to fraction form
    823.30/1,256.62 = 823.30/x
  3. Step 3: Cross multiply
    823.30x = 1,256.62 × 823.30
  4. Step 4: Simplify right side
    823.30x = 1,034,575.25
  5. Step 5: Solve for x
    x = 1,034,575.25/823.30
  6. Step 6: Final answer
    x = 1,256.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.