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Finding the Fourth Proportional to 818.51, 1,226.33 and 586.25

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Solution

The fourth proportional to 818.51, 1,226.33 and 586.25 is: 878.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.51 : 1,226.33 = 586.25 : x
  2. Step 2: Convert to fraction form
    818.51/1,226.33 = 586.25/x
  3. Step 3: Cross multiply
    818.51x = 1,226.33 × 586.25
  4. Step 4: Simplify right side
    818.51x = 718,935.96
  5. Step 5: Solve for x
    x = 718,935.96/818.51
  6. Step 6: Final answer
    x = 878.35

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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.