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Finding the Fourth Proportional to 820.32, 1,130.33 and 557.88

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Solution

The fourth proportional to 820.32, 1,130.33 and 557.88 is: 768.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.32 : 1,130.33 = 557.88 : x
  2. Step 2: Convert to fraction form
    820.32/1,130.33 = 557.88/x
  3. Step 3: Cross multiply
    820.32x = 1,130.33 × 557.88
  4. Step 4: Simplify right side
    820.32x = 630,585.71
  5. Step 5: Solve for x
    x = 630,585.71/820.32
  6. Step 6: Final answer
    x = 768.71

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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.