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Finding the Fourth Proportional to 917.70, 1,266.31 and 524.65

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Solution

The fourth proportional to 917.70, 1,266.31 and 524.65 is: 723.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.70 : 1,266.31 = 524.65 : x
  2. Step 2: Convert to fraction form
    917.70/1,266.31 = 524.65/x
  3. Step 3: Cross multiply
    917.70x = 1,266.31 × 524.65
  4. Step 4: Simplify right side
    917.70x = 664,369.54
  5. Step 5: Solve for x
    x = 664,369.54/917.70
  6. Step 6: Final answer
    x = 723.95

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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.