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Finding the Fourth Proportional to 890.82, 1,229.33 and 497.93

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Solution

The fourth proportional to 890.82, 1,229.33 and 497.93 is: 687.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.82 : 1,229.33 = 497.93 : x
  2. Step 2: Convert to fraction form
    890.82/1,229.33 = 497.93/x
  3. Step 3: Cross multiply
    890.82x = 1,229.33 × 497.93
  4. Step 4: Simplify right side
    890.82x = 612,111.65
  5. Step 5: Solve for x
    x = 612,111.65/890.82
  6. Step 6: Final answer
    x = 687.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.