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Finding the Fourth Proportional to 1,348.09, 1,860.37 and 758.64

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Solution

The fourth proportional to 1,348.09, 1,860.37 and 758.64 is: 1,046.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.09 : 1,860.37 = 758.64 : x
  2. Step 2: Convert to fraction form
    1,348.09/1,860.37 = 758.64/x
  3. Step 3: Cross multiply
    1,348.09x = 1,860.37 × 758.64
  4. Step 4: Simplify right side
    1,348.09x = 1,411,351.10
  5. Step 5: Solve for x
    x = 1,411,351.10/1,348.09
  6. Step 6: Final answer
    x = 1,046.93

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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.