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Finding the Fourth Proportional to 1,398.55, 1,929.43 and 839.03

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Solution

The fourth proportional to 1,398.55, 1,929.43 and 839.03 is: 1,157.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.55 : 1,929.43 = 839.03 : x
  2. Step 2: Convert to fraction form
    1,398.55/1,929.43 = 839.03/x
  3. Step 3: Cross multiply
    1,398.55x = 1,929.43 × 839.03
  4. Step 4: Simplify right side
    1,398.55x = 1,618,849.65
  5. Step 5: Solve for x
    x = 1,618,849.65/1,398.55
  6. Step 6: Final answer
    x = 1,157.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.