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Finding the Fourth Proportional to 917.49, 1,266.54 and 586.37

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Solution

The fourth proportional to 917.49, 1,266.54 and 586.37 is: 809.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.49 : 1,266.54 = 586.37 : x
  2. Step 2: Convert to fraction form
    917.49/1,266.54 = 586.37/x
  3. Step 3: Cross multiply
    917.49x = 1,266.54 × 586.37
  4. Step 4: Simplify right side
    917.49x = 742,654.73
  5. Step 5: Solve for x
    x = 742,654.73/917.49
  6. Step 6: Final answer
    x = 809.44

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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.