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Finding the Fourth Proportional to 1,345.77, 2,017.78 and 642.69

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Solution

The fourth proportional to 1,345.77, 2,017.78 and 642.69 is: 963.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.77 : 2,017.78 = 642.69 : x
  2. Step 2: Convert to fraction form
    1,345.77/2,017.78 = 642.69/x
  3. Step 3: Cross multiply
    1,345.77x = 2,017.78 × 642.69
  4. Step 4: Simplify right side
    1,345.77x = 1,296,807.03
  5. Step 5: Solve for x
    x = 1,296,807.03/1,345.77
  6. Step 6: Final answer
    x = 963.62

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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.