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Finding the Fourth Proportional to 1,398, 2,097.20 and 473.64

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Solution

The fourth proportional to 1,398, 2,097.20 and 473.64 is: 710.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398 : 2,097.20 = 473.64 : x
  2. Step 2: Convert to fraction form
    1,398/2,097.20 = 473.64/x
  3. Step 3: Cross multiply
    1,398x = 2,097.20 × 473.64
  4. Step 4: Simplify right side
    1,398x = 993,317.81
  5. Step 5: Solve for x
    x = 993,317.81/1,398
  6. Step 6: Final answer
    x = 710.53

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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.