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Finding the Fourth Proportional to 1,463.71, 2,196.47 and 642.67

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Solution

The fourth proportional to 1,463.71, 2,196.47 and 642.67 is: 964.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.71 : 2,196.47 = 642.67 : x
  2. Step 2: Convert to fraction form
    1,463.71/2,196.47 = 642.67/x
  3. Step 3: Cross multiply
    1,463.71x = 2,196.47 × 642.67
  4. Step 4: Simplify right side
    1,463.71x = 1,411,609.73
  5. Step 5: Solve for x
    x = 1,411,609.73/1,463.71
  6. Step 6: Final answer
    x = 964.41

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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.