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Finding the Fourth Proportional to 1,261.06, 1,740.27 and 737.35

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Solution

The fourth proportional to 1,261.06, 1,740.27 and 737.35 is: 1,017.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.06 : 1,740.27 = 737.35 : x
  2. Step 2: Convert to fraction form
    1,261.06/1,740.27 = 737.35/x
  3. Step 3: Cross multiply
    1,261.06x = 1,740.27 × 737.35
  4. Step 4: Simplify right side
    1,261.06x = 1,283,188.08
  5. Step 5: Solve for x
    x = 1,283,188.08/1,261.06
  6. Step 6: Final answer
    x = 1,017.55

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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.