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Finding the Fourth Proportional to 1,345.59, 1,857.02 and 821.73

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Solution

The fourth proportional to 1,345.59, 1,857.02 and 821.73 is: 1,134.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.59 : 1,857.02 = 821.73 : x
  2. Step 2: Convert to fraction form
    1,345.59/1,857.02 = 821.73/x
  3. Step 3: Cross multiply
    1,345.59x = 1,857.02 × 821.73
  4. Step 4: Simplify right side
    1,345.59x = 1,525,964.94
  5. Step 5: Solve for x
    x = 1,525,964.94/1,345.59
  6. Step 6: Final answer
    x = 1,134.05

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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.