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Finding the Fourth Proportional to 1,397.66, 1,929.12 and 808.57

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Solution

The fourth proportional to 1,397.66, 1,929.12 and 808.57 is: 1,116.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.66 : 1,929.12 = 808.57 : x
  2. Step 2: Convert to fraction form
    1,397.66/1,929.12 = 808.57/x
  3. Step 3: Cross multiply
    1,397.66x = 1,929.12 × 808.57
  4. Step 4: Simplify right side
    1,397.66x = 1,559,828.56
  5. Step 5: Solve for x
    x = 1,559,828.56/1,397.66
  6. Step 6: Final answer
    x = 1,116.03

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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.