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Finding the Fourth Proportional to 856.75, 1,182.35 and 483.73

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Solution

The fourth proportional to 856.75, 1,182.35 and 483.73 is: 667.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.75 : 1,182.35 = 483.73 : x
  2. Step 2: Convert to fraction form
    856.75/1,182.35 = 483.73/x
  3. Step 3: Cross multiply
    856.75x = 1,182.35 × 483.73
  4. Step 4: Simplify right side
    856.75x = 571,938.17
  5. Step 5: Solve for x
    x = 571,938.17/856.75
  6. Step 6: Final answer
    x = 667.57

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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.