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Finding the Fourth Proportional to 1,345.82, 2,017.71 and 696.20

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Solution

The fourth proportional to 1,345.82, 2,017.71 and 696.20 is: 1,043.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.82 : 2,017.71 = 696.20 : x
  2. Step 2: Convert to fraction form
    1,345.82/2,017.71 = 696.20/x
  3. Step 3: Cross multiply
    1,345.82x = 2,017.71 × 696.20
  4. Step 4: Simplify right side
    1,345.82x = 1,404,719.61
  5. Step 5: Solve for x
    x = 1,404,719.61/1,345.82
  6. Step 6: Final answer
    x = 1,043.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.