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Finding the Fourth Proportional to 1,368.20, 2,052.77 and 751.11

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Solution

The fourth proportional to 1,368.20, 2,052.77 and 751.11 is: 1,126.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.20 : 2,052.77 = 751.11 : x
  2. Step 2: Convert to fraction form
    1,368.20/2,052.77 = 751.11/x
  3. Step 3: Cross multiply
    1,368.20x = 2,052.77 × 751.11
  4. Step 4: Simplify right side
    1,368.20x = 1,541,852.32
  5. Step 5: Solve for x
    x = 1,541,852.32/1,368.20
  6. Step 6: Final answer
    x = 1,126.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.