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Finding the Fourth Proportional to 1,398.15, 2,097.54 and 473.63

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Solution

The fourth proportional to 1,398.15, 2,097.54 and 473.63 is: 710.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.15 : 2,097.54 = 473.63 : x
  2. Step 2: Convert to fraction form
    1,398.15/2,097.54 = 473.63/x
  3. Step 3: Cross multiply
    1,398.15x = 2,097.54 × 473.63
  4. Step 4: Simplify right side
    1,398.15x = 993,447.38
  5. Step 5: Solve for x
    x = 993,447.38/1,398.15
  6. Step 6: Final answer
    x = 710.54

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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.