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Finding the Fourth Proportional to 1,497.71, 2,246.25 and 401.81

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Solution

The fourth proportional to 1,497.71, 2,246.25 and 401.81 is: 602.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.71 : 2,246.25 = 401.81 : x
  2. Step 2: Convert to fraction form
    1,497.71/2,246.25 = 401.81/x
  3. Step 3: Cross multiply
    1,497.71x = 2,246.25 × 401.81
  4. Step 4: Simplify right side
    1,497.71x = 902,572.83
  5. Step 5: Solve for x
    x = 902,572.83/1,497.71
  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.