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Finding the Fourth Proportional to 828.86, 1,143.33 and 632.30

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Solution

The fourth proportional to 828.86, 1,143.33 and 632.30 is: 872.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.86 : 1,143.33 = 632.30 : x
  2. Step 2: Convert to fraction form
    828.86/1,143.33 = 632.30/x
  3. Step 3: Cross multiply
    828.86x = 1,143.33 × 632.30
  4. Step 4: Simplify right side
    828.86x = 722,927.56
  5. Step 5: Solve for x
    x = 722,927.56/828.86
  6. Step 6: Final answer
    x = 872.20

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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.