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Finding the Fourth Proportional to 1,199.71, 1,655.60 and 675.78

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Solution

The fourth proportional to 1,199.71, 1,655.60 and 675.78 is: 932.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.71 : 1,655.60 = 675.78 : x
  2. Step 2: Convert to fraction form
    1,199.71/1,655.60 = 675.78/x
  3. Step 3: Cross multiply
    1,199.71x = 1,655.60 × 675.78
  4. Step 4: Simplify right side
    1,199.71x = 1,118,821.37
  5. Step 5: Solve for x
    x = 1,118,821.37/1,199.71
  6. Step 6: Final answer
    x = 932.58

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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.