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Finding the Fourth Proportional to 1,578.57, 2,368.23 and 604.68

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Solution

The fourth proportional to 1,578.57, 2,368.23 and 604.68 is: 907.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.57 : 2,368.23 = 604.68 : x
  2. Step 2: Convert to fraction form
    1,578.57/2,368.23 = 604.68/x
  3. Step 3: Cross multiply
    1,578.57x = 2,368.23 × 604.68
  4. Step 4: Simplify right side
    1,578.57x = 1,432,021.32
  5. Step 5: Solve for x
    x = 1,432,021.32/1,578.57
  6. Step 6: Final answer
    x = 907.16

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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.