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Finding the Fourth Proportional to 1,398.21, 2,096.70 and 473.53

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Solution

The fourth proportional to 1,398.21, 2,096.70 and 473.53 is: 710.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.21 : 2,096.70 = 473.53 : x
  2. Step 2: Convert to fraction form
    1,398.21/2,096.70 = 473.53/x
  3. Step 3: Cross multiply
    1,398.21x = 2,096.70 × 473.53
  4. Step 4: Simplify right side
    1,398.21x = 992,849.93
  5. Step 5: Solve for x
    x = 992,849.93/1,398.21
  6. Step 6: Final answer
    x = 710.09

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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.