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Finding the Fourth Proportional to 747.83, 1,121.75 and 565.58

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Solution

The fourth proportional to 747.83, 1,121.75 and 565.58 is: 848.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.83 : 1,121.75 = 565.58 : x
  2. Step 2: Convert to fraction form
    747.83/1,121.75 = 565.58/x
  3. Step 3: Cross multiply
    747.83x = 1,121.75 × 565.58
  4. Step 4: Simplify right side
    747.83x = 634,441.46
  5. Step 5: Solve for x
    x = 634,441.46/747.83
  6. Step 6: Final answer
    x = 848.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.