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Finding the Fourth Proportional to 917.82, 1,266.29 and 586.44

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Solution

The fourth proportional to 917.82, 1,266.29 and 586.44 is: 809.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.82 : 1,266.29 = 586.44 : x
  2. Step 2: Convert to fraction form
    917.82/1,266.29 = 586.44/x
  3. Step 3: Cross multiply
    917.82x = 1,266.29 × 586.44
  4. Step 4: Simplify right side
    917.82x = 742,600.18
  5. Step 5: Solve for x
    x = 742,600.18/917.82
  6. Step 6: Final answer
    x = 809.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.