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Finding the Fourth Proportional to 1,398.46, 1,929.77 and 800.88

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Solution

The fourth proportional to 1,398.46, 1,929.77 and 800.88 is: 1,105.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.46 : 1,929.77 = 800.88 : x
  2. Step 2: Convert to fraction form
    1,398.46/1,929.77 = 800.88/x
  3. Step 3: Cross multiply
    1,398.46x = 1,929.77 × 800.88
  4. Step 4: Simplify right side
    1,398.46x = 1,545,515.89
  5. Step 5: Solve for x
    x = 1,545,515.89/1,398.46
  6. Step 6: Final answer
    x = 1,105.16

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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.