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Finding the Fourth Proportional to 813.06, 1,218.21 and 580.77

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Solution

The fourth proportional to 813.06, 1,218.21 and 580.77 is: 870.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.06 : 1,218.21 = 580.77 : x
  2. Step 2: Convert to fraction form
    813.06/1,218.21 = 580.77/x
  3. Step 3: Cross multiply
    813.06x = 1,218.21 × 580.77
  4. Step 4: Simplify right side
    813.06x = 707,502.54
  5. Step 5: Solve for x
    x = 707,502.54/813.06
  6. Step 6: Final answer
    x = 870.17

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Why These Related Problems?

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