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Finding the Fourth Proportional to 1,592.82, 2,389.44 and 497.19

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Solution

The fourth proportional to 1,592.82, 2,389.44 and 497.19 is: 745.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.82 : 2,389.44 = 497.19 : x
  2. Step 2: Convert to fraction form
    1,592.82/2,389.44 = 497.19/x
  3. Step 3: Cross multiply
    1,592.82x = 2,389.44 × 497.19
  4. Step 4: Simplify right side
    1,592.82x = 1,188,005.67
  5. Step 5: Solve for x
    x = 1,188,005.67/1,592.82
  6. Step 6: Final answer
    x = 745.85

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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.