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Finding the Fourth Proportional to 913.74, 1,261 and 582.24

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Solution

The fourth proportional to 913.74, 1,261 and 582.24 is: 803.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.74 : 1,261 = 582.24 : x
  2. Step 2: Convert to fraction form
    913.74/1,261 = 582.24/x
  3. Step 3: Cross multiply
    913.74x = 1,261 × 582.24
  4. Step 4: Simplify right side
    913.74x = 734,204.64
  5. Step 5: Solve for x
    x = 734,204.64/913.74
  6. Step 6: Final answer
    x = 803.52

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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.