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Finding the Fourth Proportional to 1,397.86, 2,097.02 and 473.48

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Solution

The fourth proportional to 1,397.86, 2,097.02 and 473.48 is: 710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.86 : 2,097.02 = 473.48 : x
  2. Step 2: Convert to fraction form
    1,397.86/2,097.02 = 473.48/x
  3. Step 3: Cross multiply
    1,397.86x = 2,097.02 × 473.48
  4. Step 4: Simplify right side
    1,397.86x = 992,897.03
  5. Step 5: Solve for x
    x = 992,897.03/1,397.86
  6. Step 6: Final answer
    x = 710.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.