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Finding the Fourth Proportional to 1,214.22, 1,675.56 and 716.84

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Solution

The fourth proportional to 1,214.22, 1,675.56 and 716.84 is: 989.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.22 : 1,675.56 = 716.84 : x
  2. Step 2: Convert to fraction form
    1,214.22/1,675.56 = 716.84/x
  3. Step 3: Cross multiply
    1,214.22x = 1,675.56 × 716.84
  4. Step 4: Simplify right side
    1,214.22x = 1,201,108.43
  5. Step 5: Solve for x
    x = 1,201,108.43/1,214.22
  6. Step 6: Final answer
    x = 989.20

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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.