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Finding the Fourth Proportional to 917.51, 1,266.17 and 524.54

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Solution

The fourth proportional to 917.51, 1,266.17 and 524.54 is: 723.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.51 : 1,266.17 = 524.54 : x
  2. Step 2: Convert to fraction form
    917.51/1,266.17 = 524.54/x
  3. Step 3: Cross multiply
    917.51x = 1,266.17 × 524.54
  4. Step 4: Simplify right side
    917.51x = 664,157.35
  5. Step 5: Solve for x
    x = 664,157.35/917.51
  6. Step 6: Final answer
    x = 723.87

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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.