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Finding the Fourth Proportional to 1,199.55, 1,655.49 and 751.74

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Solution

The fourth proportional to 1,199.55, 1,655.49 and 751.74 is: 1,037.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.55 : 1,655.49 = 751.74 : x
  2. Step 2: Convert to fraction form
    1,199.55/1,655.49 = 751.74/x
  3. Step 3: Cross multiply
    1,199.55x = 1,655.49 × 751.74
  4. Step 4: Simplify right side
    1,199.55x = 1,244,498.05
  5. Step 5: Solve for x
    x = 1,244,498.05/1,199.55
  6. Step 6: Final answer
    x = 1,037.47

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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.