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Finding the Fourth Proportional to 1,214.15, 1,674.18 and 820.49

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Solution

The fourth proportional to 1,214.15, 1,674.18 and 820.49 is: 1,131.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.15 : 1,674.18 = 820.49 : x
  2. Step 2: Convert to fraction form
    1,214.15/1,674.18 = 820.49/x
  3. Step 3: Cross multiply
    1,214.15x = 1,674.18 × 820.49
  4. Step 4: Simplify right side
    1,214.15x = 1,373,639.58
  5. Step 5: Solve for x
    x = 1,373,639.58/1,214.15
  6. Step 6: Final answer
    x = 1,131.36

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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.