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Finding the Fourth Proportional to 1,214.01, 1,675.22 and 689.94

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Solution

The fourth proportional to 1,214.01, 1,675.22 and 689.94 is: 952.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.01 : 1,675.22 = 689.94 : x
  2. Step 2: Convert to fraction form
    1,214.01/1,675.22 = 689.94/x
  3. Step 3: Cross multiply
    1,214.01x = 1,675.22 × 689.94
  4. Step 4: Simplify right side
    1,214.01x = 1,155,797.84
  5. Step 5: Solve for x
    x = 1,155,797.84/1,214.01
  6. Step 6: Final answer
    x = 952.05

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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.