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Finding the Fourth Proportional to 1,592.78, 2,389.52 and 497.24

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Solution

The fourth proportional to 1,592.78, 2,389.52 and 497.24 is: 745.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.78 : 2,389.52 = 497.24 : x
  2. Step 2: Convert to fraction form
    1,592.78/2,389.52 = 497.24/x
  3. Step 3: Cross multiply
    1,592.78x = 2,389.52 × 497.24
  4. Step 4: Simplify right side
    1,592.78x = 1,188,164.92
  5. Step 5: Solve for x
    x = 1,188,164.92/1,592.78
  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.