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Finding the Fourth Proportional to 1,497.50, 2,246.08 and 401.79

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Solution

The fourth proportional to 1,497.50, 2,246.08 and 401.79 is: 602.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.50 : 2,246.08 = 401.79 : x
  2. Step 2: Convert to fraction form
    1,497.50/2,246.08 = 401.79/x
  3. Step 3: Cross multiply
    1,497.50x = 2,246.08 × 401.79
  4. Step 4: Simplify right side
    1,497.50x = 902,452.48
  5. Step 5: Solve for x
    x = 902,452.48/1,497.50
  6. Step 6: Final answer
    x = 602.64

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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.