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Finding the Fourth Proportional to 1,102.82, 1,654.23 and 526.10

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Solution

The fourth proportional to 1,102.82, 1,654.23 and 526.10 is: 789.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.82 : 1,654.23 = 526.10 : x
  2. Step 2: Convert to fraction form
    1,102.82/1,654.23 = 526.10/x
  3. Step 3: Cross multiply
    1,102.82x = 1,654.23 × 526.10
  4. Step 4: Simplify right side
    1,102.82x = 870,290.40
  5. Step 5: Solve for x
    x = 870,290.40/1,102.82
  6. Step 6: Final answer
    x = 789.15

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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.