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Finding the Fourth Proportional to 856.68, 1,182.13 and 483.62

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Solution

The fourth proportional to 856.68, 1,182.13 and 483.62 is: 667.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.68 : 1,182.13 = 483.62 : x
  2. Step 2: Convert to fraction form
    856.68/1,182.13 = 483.62/x
  3. Step 3: Cross multiply
    856.68x = 1,182.13 × 483.62
  4. Step 4: Simplify right side
    856.68x = 571,701.71
  5. Step 5: Solve for x
    x = 571,701.71/856.68
  6. Step 6: Final answer
    x = 667.35

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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.