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Finding the Fourth Proportional to 1,074.93, 1,612.94 and 801.57

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Solution

The fourth proportional to 1,074.93, 1,612.94 and 801.57 is: 1,202.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.93 : 1,612.94 = 801.57 : x
  2. Step 2: Convert to fraction form
    1,074.93/1,612.94 = 801.57/x
  3. Step 3: Cross multiply
    1,074.93x = 1,612.94 × 801.57
  4. Step 4: Simplify right side
    1,074.93x = 1,292,880.31
  5. Step 5: Solve for x
    x = 1,292,880.31/1,074.93
  6. Step 6: Final answer
    x = 1,202.76

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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.