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Finding the Fourth Proportional to 1,311.07, 1,809.21 and 751.51

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Solution

The fourth proportional to 1,311.07, 1,809.21 and 751.51 is: 1,037.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.07 : 1,809.21 = 751.51 : x
  2. Step 2: Convert to fraction form
    1,311.07/1,809.21 = 751.51/x
  3. Step 3: Cross multiply
    1,311.07x = 1,809.21 × 751.51
  4. Step 4: Simplify right side
    1,311.07x = 1,359,639.41
  5. Step 5: Solve for x
    x = 1,359,639.41/1,311.07
  6. Step 6: Final answer
    x = 1,037.05

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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.