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Finding the Fourth Proportional to 856.86, 1,181.30 and 658

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Solution

The fourth proportional to 856.86, 1,181.30 and 658 is: 907.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.86 : 1,181.30 = 658 : x
  2. Step 2: Convert to fraction form
    856.86/1,181.30 = 658/x
  3. Step 3: Cross multiply
    856.86x = 1,181.30 × 658
  4. Step 4: Simplify right side
    856.86x = 777,295.40
  5. Step 5: Solve for x
    x = 777,295.40/856.86
  6. Step 6: Final answer
    x = 907.14

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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.