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Finding the Fourth Proportional to 856.89, 1,182.50 and 483.87

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Solution

The fourth proportional to 856.89, 1,182.50 and 483.87 is: 667.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.89 : 1,182.50 = 483.87 : x
  2. Step 2: Convert to fraction form
    856.89/1,182.50 = 483.87/x
  3. Step 3: Cross multiply
    856.89x = 1,182.50 × 483.87
  4. Step 4: Simplify right side
    856.89x = 572,176.17
  5. Step 5: Solve for x
    x = 572,176.17/856.89
  6. Step 6: Final answer
    x = 667.74

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Why These Related Problems?

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