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Finding the Fourth Proportional to 873.08, 1,309.66 and 586.92

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Solution

The fourth proportional to 873.08, 1,309.66 and 586.92 is: 880.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.08 : 1,309.66 = 586.92 : x
  2. Step 2: Convert to fraction form
    873.08/1,309.66 = 586.92/x
  3. Step 3: Cross multiply
    873.08x = 1,309.66 × 586.92
  4. Step 4: Simplify right side
    873.08x = 768,665.65
  5. Step 5: Solve for x
    x = 768,665.65/873.08
  6. Step 6: Final answer
    x = 880.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.