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Finding the Fourth Proportional to 917.78, 1,266.53 and 524.80

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Solution

The fourth proportional to 917.78, 1,266.53 and 524.80 is: 724.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.78 : 1,266.53 = 524.80 : x
  2. Step 2: Convert to fraction form
    917.78/1,266.53 = 524.80/x
  3. Step 3: Cross multiply
    917.78x = 1,266.53 × 524.80
  4. Step 4: Simplify right side
    917.78x = 664,669.15
  5. Step 5: Solve for x
    x = 664,669.15/917.78
  6. Step 6: Final answer
    x = 724.22

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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.