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Finding the Fourth Proportional to 856.58, 1,181.99 and 524.95

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Solution

The fourth proportional to 856.58, 1,181.99 and 524.95 is: 724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.58 : 1,181.99 = 524.95 : x
  2. Step 2: Convert to fraction form
    856.58/1,181.99 = 524.95/x
  3. Step 3: Cross multiply
    856.58x = 1,181.99 × 524.95
  4. Step 4: Simplify right side
    856.58x = 620,484.01
  5. Step 5: Solve for x
    x = 620,484.01/856.58
  6. Step 6: Final answer
    x = 724.38

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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.