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Finding the Fourth Proportional to 1,146.88, 1,582.32 and 797.68

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Solution

The fourth proportional to 1,146.88, 1,582.32 and 797.68 is: 1,100.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.88 : 1,582.32 = 797.68 : x
  2. Step 2: Convert to fraction form
    1,146.88/1,582.32 = 797.68/x
  3. Step 3: Cross multiply
    1,146.88x = 1,582.32 × 797.68
  4. Step 4: Simplify right side
    1,146.88x = 1,262,185.02
  5. Step 5: Solve for x
    x = 1,262,185.02/1,146.88
  6. Step 6: Final answer
    x = 1,100.54

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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.