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Finding the Fourth Proportional to 1,398.04, 1,929.33 and 808.78

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Solution

The fourth proportional to 1,398.04, 1,929.33 and 808.78 is: 1,116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.04 : 1,929.33 = 808.78 : x
  2. Step 2: Convert to fraction form
    1,398.04/1,929.33 = 808.78/x
  3. Step 3: Cross multiply
    1,398.04x = 1,929.33 × 808.78
  4. Step 4: Simplify right side
    1,398.04x = 1,560,403.52
  5. Step 5: Solve for x
    x = 1,560,403.52/1,398.04
  6. Step 6: Final answer
    x = 1,116.14

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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.