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Finding the Fourth Proportional to 1,374.51, 2,058.89 and 605.55

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Solution

The fourth proportional to 1,374.51, 2,058.89 and 605.55 is: 907.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.51 : 2,058.89 = 605.55 : x
  2. Step 2: Convert to fraction form
    1,374.51/2,058.89 = 605.55/x
  3. Step 3: Cross multiply
    1,374.51x = 2,058.89 × 605.55
  4. Step 4: Simplify right side
    1,374.51x = 1,246,757.81
  5. Step 5: Solve for x
    x = 1,246,757.81/1,374.51
  6. Step 6: Final answer
    x = 907.06

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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.