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Finding the Fourth Proportional to 1,729.61, 2,594.87 and 497.10

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Solution

The fourth proportional to 1,729.61, 2,594.87 and 497.10 is: 745.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.61 : 2,594.87 = 497.10 : x
  2. Step 2: Convert to fraction form
    1,729.61/2,594.87 = 497.10/x
  3. Step 3: Cross multiply
    1,729.61x = 2,594.87 × 497.10
  4. Step 4: Simplify right side
    1,729.61x = 1,289,907.39
  5. Step 5: Solve for x
    x = 1,289,907.39/1,729.61
  6. Step 6: Final answer
    x = 745.78

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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.