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Finding the Fourth Proportional to 1,199.77, 1,655.54 and 675.79

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Solution

The fourth proportional to 1,199.77, 1,655.54 and 675.79 is: 932.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.77 : 1,655.54 = 675.79 : x
  2. Step 2: Convert to fraction form
    1,199.77/1,655.54 = 675.79/x
  3. Step 3: Cross multiply
    1,199.77x = 1,655.54 × 675.79
  4. Step 4: Simplify right side
    1,199.77x = 1,118,797.38
  5. Step 5: Solve for x
    x = 1,118,797.38/1,199.77
  6. Step 6: Final answer
    x = 932.51

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1.5x scale

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.