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Finding the Fourth Proportional to 1,156.47, 1,734.54 and 426.05

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Solution

The fourth proportional to 1,156.47, 1,734.54 and 426.05 is: 639.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.47 : 1,734.54 = 426.05 : x
  2. Step 2: Convert to fraction form
    1,156.47/1,734.54 = 426.05/x
  3. Step 3: Cross multiply
    1,156.47x = 1,734.54 × 426.05
  4. Step 4: Simplify right side
    1,156.47x = 738,992.09
  5. Step 5: Solve for x
    x = 738,992.09/1,156.47
  6. Step 6: Final answer
    x = 639.01

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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.