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Finding the Fourth Proportional to 917.82, 1,266.48 and 524.88

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Solution

The fourth proportional to 917.82, 1,266.48 and 524.88 is: 724.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.82 : 1,266.48 = 524.88 : x
  2. Step 2: Convert to fraction form
    917.82/1,266.48 = 524.88/x
  3. Step 3: Cross multiply
    917.82x = 1,266.48 × 524.88
  4. Step 4: Simplify right side
    917.82x = 664,750.02
  5. Step 5: Solve for x
    x = 664,750.02/917.82
  6. Step 6: Final answer
    x = 724.27

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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.