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Finding the Fourth Proportional to 1,173.71, 1,619.71 and 642.59

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Solution

The fourth proportional to 1,173.71, 1,619.71 and 642.59 is: 886.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.71 : 1,619.71 = 642.59 : x
  2. Step 2: Convert to fraction form
    1,173.71/1,619.71 = 642.59/x
  3. Step 3: Cross multiply
    1,173.71x = 1,619.71 × 642.59
  4. Step 4: Simplify right side
    1,173.71x = 1,040,809.45
  5. Step 5: Solve for x
    x = 1,040,809.45/1,173.71
  6. Step 6: Final answer
    x = 886.77

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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.