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Finding the Fourth Proportional to 1,578.95, 2,369.13 and 605.13

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Solution

The fourth proportional to 1,578.95, 2,369.13 and 605.13 is: 907.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.95 : 2,369.13 = 605.13 : x
  2. Step 2: Convert to fraction form
    1,578.95/2,369.13 = 605.13/x
  3. Step 3: Cross multiply
    1,578.95x = 2,369.13 × 605.13
  4. Step 4: Simplify right side
    1,578.95x = 1,433,631.64
  5. Step 5: Solve for x
    x = 1,433,631.64/1,578.95
  6. Step 6: Final answer
    x = 907.97

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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.