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Finding the Fourth Proportional to 856.62, 1,284.12 and 527.76

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Solution

The fourth proportional to 856.62, 1,284.12 and 527.76 is: 791.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.62 : 1,284.12 = 527.76 : x
  2. Step 2: Convert to fraction form
    856.62/1,284.12 = 527.76/x
  3. Step 3: Cross multiply
    856.62x = 1,284.12 × 527.76
  4. Step 4: Simplify right side
    856.62x = 677,707.17
  5. Step 5: Solve for x
    x = 677,707.17/856.62
  6. Step 6: Final answer
    x = 791.14

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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.