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Finding the Fourth Proportional to 1,497.34, 2,245.84 and 401.82

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Solution

The fourth proportional to 1,497.34, 2,245.84 and 401.82 is: 602.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.34 : 2,245.84 = 401.82 : x
  2. Step 2: Convert to fraction form
    1,497.34/2,245.84 = 401.82/x
  3. Step 3: Cross multiply
    1,497.34x = 2,245.84 × 401.82
  4. Step 4: Simplify right side
    1,497.34x = 902,423.43
  5. Step 5: Solve for x
    x = 902,423.43/1,497.34
  6. Step 6: Final answer
    x = 602.68

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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.