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Finding the Fourth Proportional to 1,578.87, 2,369.16 and 604.98

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Solution

The fourth proportional to 1,578.87, 2,369.16 and 604.98 is: 907.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.87 : 2,369.16 = 604.98 : x
  2. Step 2: Convert to fraction form
    1,578.87/2,369.16 = 604.98/x
  3. Step 3: Cross multiply
    1,578.87x = 2,369.16 × 604.98
  4. Step 4: Simplify right side
    1,578.87x = 1,433,294.42
  5. Step 5: Solve for x
    x = 1,433,294.42/1,578.87
  6. Step 6: Final answer
    x = 907.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.