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Finding the Fourth Proportional to 856.84, 1,182.50 and 483.85

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Solution

The fourth proportional to 856.84, 1,182.50 and 483.85 is: 667.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.84 : 1,182.50 = 483.85 : x
  2. Step 2: Convert to fraction form
    856.84/1,182.50 = 483.85/x
  3. Step 3: Cross multiply
    856.84x = 1,182.50 × 483.85
  4. Step 4: Simplify right side
    856.84x = 572,152.63
  5. Step 5: Solve for x
    x = 572,152.63/856.84
  6. Step 6: Final answer
    x = 667.75

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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.