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Finding the Fourth Proportional to 917.56, 1,266.54 and 568.36

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Solution

The fourth proportional to 917.56, 1,266.54 and 568.36 is: 784.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.56 : 1,266.54 = 568.36 : x
  2. Step 2: Convert to fraction form
    917.56/1,266.54 = 568.36/x
  3. Step 3: Cross multiply
    917.56x = 1,266.54 × 568.36
  4. Step 4: Simplify right side
    917.56x = 719,850.67
  5. Step 5: Solve for x
    x = 719,850.67/917.56
  6. Step 6: Final answer
    x = 784.53

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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.