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Finding the Fourth Proportional to 1,146.81, 1,582.59 and 649.44

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Solution

The fourth proportional to 1,146.81, 1,582.59 and 649.44 is: 896.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.81 : 1,582.59 = 649.44 : x
  2. Step 2: Convert to fraction form
    1,146.81/1,582.59 = 649.44/x
  3. Step 3: Cross multiply
    1,146.81x = 1,582.59 × 649.44
  4. Step 4: Simplify right side
    1,146.81x = 1,027,797.25
  5. Step 5: Solve for x
    x = 1,027,797.25/1,146.81
  6. Step 6: Final answer
    x = 896.22

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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.