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Finding the Fourth Proportional to 856.71, 1,180.31 and 590.90

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Solution

The fourth proportional to 856.71, 1,180.31 and 590.90 is: 814.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.71 : 1,180.31 = 590.90 : x
  2. Step 2: Convert to fraction form
    856.71/1,180.31 = 590.90/x
  3. Step 3: Cross multiply
    856.71x = 1,180.31 × 590.90
  4. Step 4: Simplify right side
    856.71x = 697,436.32
  5. Step 5: Solve for x
    x = 697,436.32/856.71
  6. Step 6: Final answer
    x = 814.09

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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.