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Finding the Fourth Proportional to 856.75, 1,182.41 and 525.40

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Solution

The fourth proportional to 856.75, 1,182.41 and 525.40 is: 725.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.75 : 1,182.41 = 525.40 : x
  2. Step 2: Convert to fraction form
    856.75/1,182.41 = 525.40/x
  3. Step 3: Cross multiply
    856.75x = 1,182.41 × 525.40
  4. Step 4: Simplify right side
    856.75x = 621,238.21
  5. Step 5: Solve for x
    x = 621,238.21/856.75
  6. Step 6: Final answer
    x = 725.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.