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Finding the Fourth Proportional to 901.13, 1,244.16 and 582.69

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Solution

The fourth proportional to 901.13, 1,244.16 and 582.69 is: 804.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.13 : 1,244.16 = 582.69 : x
  2. Step 2: Convert to fraction form
    901.13/1,244.16 = 582.69/x
  3. Step 3: Cross multiply
    901.13x = 1,244.16 × 582.69
  4. Step 4: Simplify right side
    901.13x = 724,964.26
  5. Step 5: Solve for x
    x = 724,964.26/901.13
  6. Step 6: Final answer
    x = 804.51

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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.