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Finding the Fourth Proportional to 1,397.99, 2,097.21 and 473.60

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Solution

The fourth proportional to 1,397.99, 2,097.21 and 473.60 is: 710.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.99 : 2,097.21 = 473.60 : x
  2. Step 2: Convert to fraction form
    1,397.99/2,097.21 = 473.60/x
  3. Step 3: Cross multiply
    1,397.99x = 2,097.21 × 473.60
  4. Step 4: Simplify right side
    1,397.99x = 993,238.66
  5. Step 5: Solve for x
    x = 993,238.66/1,397.99
  6. Step 6: Final answer
    x = 710.48

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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.