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Finding the Fourth Proportional to 1,320.66, 1,821.24 and 1,071.63

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Solution

The fourth proportional to 1,320.66, 1,821.24 and 1,071.63 is: 1,477.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.66 : 1,821.24 = 1,071.63 : x
  2. Step 2: Convert to fraction form
    1,320.66/1,821.24 = 1,071.63/x
  3. Step 3: Cross multiply
    1,320.66x = 1,821.24 × 1,071.63
  4. Step 4: Simplify right side
    1,320.66x = 1,951,695.42
  5. Step 5: Solve for x
    x = 1,951,695.42/1,320.66
  6. Step 6: Final answer
    x = 1,477.82

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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.