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Finding the Fourth Proportional to 1,130.81, 1,694.97 and 582.26

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Solution

The fourth proportional to 1,130.81, 1,694.97 and 582.26 is: 872.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.81 : 1,694.97 = 582.26 : x
  2. Step 2: Convert to fraction form
    1,130.81/1,694.97 = 582.26/x
  3. Step 3: Cross multiply
    1,130.81x = 1,694.97 × 582.26
  4. Step 4: Simplify right side
    1,130.81x = 986,904.76
  5. Step 5: Solve for x
    x = 986,904.76/1,130.81
  6. Step 6: Final answer
    x = 872.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.