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Finding the Fourth Proportional to 1,146.84, 1,582.50 and 797.64

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Solution

The fourth proportional to 1,146.84, 1,582.50 and 797.64 is: 1,100.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.84 : 1,582.50 = 797.64 : x
  2. Step 2: Convert to fraction form
    1,146.84/1,582.50 = 797.64/x
  3. Step 3: Cross multiply
    1,146.84x = 1,582.50 × 797.64
  4. Step 4: Simplify right side
    1,146.84x = 1,262,265.30
  5. Step 5: Solve for x
    x = 1,262,265.30/1,146.84
  6. Step 6: Final answer
    x = 1,100.65

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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.