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Finding the Fourth Proportional to 1,146.88, 1,582.60 and 649.58

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Solution

The fourth proportional to 1,146.88, 1,582.60 and 649.58 is: 896.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.88 : 1,582.60 = 649.58 : x
  2. Step 2: Convert to fraction form
    1,146.88/1,582.60 = 649.58/x
  3. Step 3: Cross multiply
    1,146.88x = 1,582.60 × 649.58
  4. Step 4: Simplify right side
    1,146.88x = 1,028,025.31
  5. Step 5: Solve for x
    x = 1,028,025.31/1,146.88
  6. Step 6: Final answer
    x = 896.37

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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.