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Finding the Fourth Proportional to 1,578.40, 2,365.77 and 745.99

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Solution

The fourth proportional to 1,578.40, 2,365.77 and 745.99 is: 1,118.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.40 : 2,365.77 = 745.99 : x
  2. Step 2: Convert to fraction form
    1,578.40/2,365.77 = 745.99/x
  3. Step 3: Cross multiply
    1,578.40x = 2,365.77 × 745.99
  4. Step 4: Simplify right side
    1,578.40x = 1,764,840.76
  5. Step 5: Solve for x
    x = 1,764,840.76/1,578.40
  6. Step 6: Final answer
    x = 1,118.12

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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.