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Finding the Fourth Proportional to 1,537.33, 2,305.49 and 497.11

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Solution

The fourth proportional to 1,537.33, 2,305.49 and 497.11 is: 745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.33 : 2,305.49 = 497.11 : x
  2. Step 2: Convert to fraction form
    1,537.33/2,305.49 = 497.11/x
  3. Step 3: Cross multiply
    1,537.33x = 2,305.49 × 497.11
  4. Step 4: Simplify right side
    1,537.33x = 1,146,070.61
  5. Step 5: Solve for x
    x = 1,146,070.61/1,537.33
  6. Step 6: Final answer
    x = 745.50

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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.