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Finding the Fourth Proportional to 801.10, 1,200.57 and 526.78

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Solution

The fourth proportional to 801.10, 1,200.57 and 526.78 is: 789.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.10 : 1,200.57 = 526.78 : x
  2. Step 2: Convert to fraction form
    801.10/1,200.57 = 526.78/x
  3. Step 3: Cross multiply
    801.10x = 1,200.57 × 526.78
  4. Step 4: Simplify right side
    801.10x = 632,436.26
  5. Step 5: Solve for x
    x = 632,436.26/801.10
  6. Step 6: Final answer
    x = 789.46

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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.