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Finding the Fourth Proportional to 1,426.35, 2,139.35 and 452.55

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Solution

The fourth proportional to 1,426.35, 2,139.35 and 452.55 is: 678.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.35 : 2,139.35 = 452.55 : x
  2. Step 2: Convert to fraction form
    1,426.35/2,139.35 = 452.55/x
  3. Step 3: Cross multiply
    1,426.35x = 2,139.35 × 452.55
  4. Step 4: Simplify right side
    1,426.35x = 968,160.58
  5. Step 5: Solve for x
    x = 968,160.58/1,426.35
  6. Step 6: Final answer
    x = 678.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.