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Finding the Fourth Proportional to 1,592.64, 2,389.30 and 497.09

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Solution

The fourth proportional to 1,592.64, 2,389.30 and 497.09 is: 745.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.64 : 2,389.30 = 497.09 : x
  2. Step 2: Convert to fraction form
    1,592.64/2,389.30 = 497.09/x
  3. Step 3: Cross multiply
    1,592.64x = 2,389.30 × 497.09
  4. Step 4: Simplify right side
    1,592.64x = 1,187,688.43
  5. Step 5: Solve for x
    x = 1,187,688.43/1,592.64
  6. Step 6: Final answer
    x = 745.74

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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.