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Finding the Fourth Proportional to 893.42, 1,338.30 and 527.10

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Solution

The fourth proportional to 893.42, 1,338.30 and 527.10 is: 789.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.42 : 1,338.30 = 527.10 : x
  2. Step 2: Convert to fraction form
    893.42/1,338.30 = 527.10/x
  3. Step 3: Cross multiply
    893.42x = 1,338.30 × 527.10
  4. Step 4: Simplify right side
    893.42x = 705,417.93
  5. Step 5: Solve for x
    x = 705,417.93/893.42
  6. Step 6: Final answer
    x = 789.57

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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.