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Finding the Fourth Proportional to 1,578.72, 2,368.54 and 604.92

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Solution

The fourth proportional to 1,578.72, 2,368.54 and 604.92 is: 907.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.72 : 2,368.54 = 604.92 : x
  2. Step 2: Convert to fraction form
    1,578.72/2,368.54 = 604.92/x
  3. Step 3: Cross multiply
    1,578.72x = 2,368.54 × 604.92
  4. Step 4: Simplify right side
    1,578.72x = 1,432,777.22
  5. Step 5: Solve for x
    x = 1,432,777.22/1,578.72
  6. Step 6: Final answer
    x = 907.56

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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.