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Finding the Fourth Proportional to 913.62, 1,260.77 and 582.04

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Solution

The fourth proportional to 913.62, 1,260.77 and 582.04 is: 803.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.62 : 1,260.77 = 582.04 : x
  2. Step 2: Convert to fraction form
    913.62/1,260.77 = 582.04/x
  3. Step 3: Cross multiply
    913.62x = 1,260.77 × 582.04
  4. Step 4: Simplify right side
    913.62x = 733,810.14
  5. Step 5: Solve for x
    x = 733,810.14/913.62
  6. Step 6: Final answer
    x = 803.19

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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.