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Finding the Fourth Proportional to 1,199.44, 1,655.22 and 675.64

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Solution

The fourth proportional to 1,199.44, 1,655.22 and 675.64 is: 932.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.44 : 1,655.22 = 675.64 : x
  2. Step 2: Convert to fraction form
    1,199.44/1,655.22 = 675.64/x
  3. Step 3: Cross multiply
    1,199.44x = 1,655.22 × 675.64
  4. Step 4: Simplify right side
    1,199.44x = 1,118,332.84
  5. Step 5: Solve for x
    x = 1,118,332.84/1,199.44
  6. Step 6: Final answer
    x = 932.38

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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.