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Finding the Fourth Proportional to 1,398.45, 1,929.33 and 808.77

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Solution

The fourth proportional to 1,398.45, 1,929.33 and 808.77 is: 1,115.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.45 : 1,929.33 = 808.77 : x
  2. Step 2: Convert to fraction form
    1,398.45/1,929.33 = 808.77/x
  3. Step 3: Cross multiply
    1,398.45x = 1,929.33 × 808.77
  4. Step 4: Simplify right side
    1,398.45x = 1,560,384.22
  5. Step 5: Solve for x
    x = 1,560,384.22/1,398.45
  6. Step 6: Final answer
    x = 1,115.80

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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.