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Finding the Fourth Proportional to 1,052.77, 1,578.81 and 497.42

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Solution

The fourth proportional to 1,052.77, 1,578.81 and 497.42 is: 745.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.77 : 1,578.81 = 497.42 : x
  2. Step 2: Convert to fraction form
    1,052.77/1,578.81 = 497.42/x
  3. Step 3: Cross multiply
    1,052.77x = 1,578.81 × 497.42
  4. Step 4: Simplify right side
    1,052.77x = 785,331.67
  5. Step 5: Solve for x
    x = 785,331.67/1,052.77
  6. Step 6: Final answer
    x = 745.97

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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.