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Finding the Fourth Proportional to 1,260.93, 1,740.51 and 737.40

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Solution

The fourth proportional to 1,260.93, 1,740.51 and 737.40 is: 1,017.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.93 : 1,740.51 = 737.40 : x
  2. Step 2: Convert to fraction form
    1,260.93/1,740.51 = 737.40/x
  3. Step 3: Cross multiply
    1,260.93x = 1,740.51 × 737.40
  4. Step 4: Simplify right side
    1,260.93x = 1,283,452.07
  5. Step 5: Solve for x
    x = 1,283,452.07/1,260.93
  6. Step 6: Final answer
    x = 1,017.86

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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.