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Finding the Fourth Proportional to 856.68, 1,182.42 and 546

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Solution

The fourth proportional to 856.68, 1,182.42 and 546 is: 753.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.68 : 1,182.42 = 546 : x
  2. Step 2: Convert to fraction form
    856.68/1,182.42 = 546/x
  3. Step 3: Cross multiply
    856.68x = 1,182.42 × 546
  4. Step 4: Simplify right side
    856.68x = 645,601.32
  5. Step 5: Solve for x
    x = 645,601.32/856.68
  6. Step 6: Final answer
    x = 753.61

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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.