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Finding the Fourth Proportional to 1,398.33, 2,097.18 and 473.85

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Solution

The fourth proportional to 1,398.33, 2,097.18 and 473.85 is: 710.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.33 : 2,097.18 = 473.85 : x
  2. Step 2: Convert to fraction form
    1,398.33/2,097.18 = 473.85/x
  3. Step 3: Cross multiply
    1,398.33x = 2,097.18 × 473.85
  4. Step 4: Simplify right side
    1,398.33x = 993,748.74
  5. Step 5: Solve for x
    x = 993,748.74/1,398.33
  6. Step 6: Final answer
    x = 710.67

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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.