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Finding the Fourth Proportional to 820.81, 1,133.13 and 560.20

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Solution

The fourth proportional to 820.81, 1,133.13 and 560.20 is: 773.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.81 : 1,133.13 = 560.20 : x
  2. Step 2: Convert to fraction form
    820.81/1,133.13 = 560.20/x
  3. Step 3: Cross multiply
    820.81x = 1,133.13 × 560.20
  4. Step 4: Simplify right side
    820.81x = 634,779.43
  5. Step 5: Solve for x
    x = 634,779.43/820.81
  6. Step 6: Final answer
    x = 773.36

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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.