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Finding the Fourth Proportional to 1,592.98, 2,389.76 and 497.09

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Solution

The fourth proportional to 1,592.98, 2,389.76 and 497.09 is: 745.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.98 : 2,389.76 = 497.09 : x
  2. Step 2: Convert to fraction form
    1,592.98/2,389.76 = 497.09/x
  3. Step 3: Cross multiply
    1,592.98x = 2,389.76 × 497.09
  4. Step 4: Simplify right side
    1,592.98x = 1,187,925.80
  5. Step 5: Solve for x
    x = 1,187,925.80/1,592.98
  6. Step 6: Final answer
    x = 745.73

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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.