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Finding the Fourth Proportional to 1,334.68, 1,841.77 and 737.13

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Solution

The fourth proportional to 1,334.68, 1,841.77 and 737.13 is: 1,017.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.68 : 1,841.77 = 737.13 : x
  2. Step 2: Convert to fraction form
    1,334.68/1,841.77 = 737.13/x
  3. Step 3: Cross multiply
    1,334.68x = 1,841.77 × 737.13
  4. Step 4: Simplify right side
    1,334.68x = 1,357,631.75
  5. Step 5: Solve for x
    x = 1,357,631.75/1,334.68
  6. Step 6: Final answer
    x = 1,017.20

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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.