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Finding the Fourth Proportional to 917.78, 1,266.57 and 586.17

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Solution

The fourth proportional to 917.78, 1,266.57 and 586.17 is: 808.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.78 : 1,266.57 = 586.17 : x
  2. Step 2: Convert to fraction form
    917.78/1,266.57 = 586.17/x
  3. Step 3: Cross multiply
    917.78x = 1,266.57 × 586.17
  4. Step 4: Simplify right side
    917.78x = 742,425.34
  5. Step 5: Solve for x
    x = 742,425.34/917.78
  6. Step 6: Final answer
    x = 808.94

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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.