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Finding the Fourth Proportional to 1,397.90, 2,096.61 and 473.44

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Solution

The fourth proportional to 1,397.90, 2,096.61 and 473.44 is: 710.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.90 : 2,096.61 = 473.44 : x
  2. Step 2: Convert to fraction form
    1,397.90/2,096.61 = 473.44/x
  3. Step 3: Cross multiply
    1,397.90x = 2,096.61 × 473.44
  4. Step 4: Simplify right side
    1,397.90x = 992,619.04
  5. Step 5: Solve for x
    x = 992,619.04/1,397.90
  6. Step 6: Final answer
    x = 710.08

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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.