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Finding the Fourth Proportional to 526.83, 789.54 and 492.18

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Solution

The fourth proportional to 526.83, 789.54 and 492.18 is: 737.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.83 : 789.54 = 492.18 : x
  2. Step 2: Convert to fraction form
    526.83/789.54 = 492.18/x
  3. Step 3: Cross multiply
    526.83x = 789.54 × 492.18
  4. Step 4: Simplify right side
    526.83x = 388,595.80
  5. Step 5: Solve for x
    x = 388,595.80/526.83
  6. Step 6: Final answer
    x = 737.61

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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.