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Finding the Fourth Proportional to 1,146.77, 1,582.57 and 649.41

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Solution

The fourth proportional to 1,146.77, 1,582.57 and 649.41 is: 896.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.77 : 1,582.57 = 649.41 : x
  2. Step 2: Convert to fraction form
    1,146.77/1,582.57 = 649.41/x
  3. Step 3: Cross multiply
    1,146.77x = 1,582.57 × 649.41
  4. Step 4: Simplify right side
    1,146.77x = 1,027,733.54
  5. Step 5: Solve for x
    x = 1,027,733.54/1,146.77
  6. Step 6: Final answer
    x = 896.20

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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.