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Finding the Fourth Proportional to 1,291.69, 1,936.52 and 642.07

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Solution

The fourth proportional to 1,291.69, 1,936.52 and 642.07 is: 962.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.69 : 1,936.52 = 642.07 : x
  2. Step 2: Convert to fraction form
    1,291.69/1,936.52 = 642.07/x
  3. Step 3: Cross multiply
    1,291.69x = 1,936.52 × 642.07
  4. Step 4: Simplify right side
    1,291.69x = 1,243,381.40
  5. Step 5: Solve for x
    x = 1,243,381.40/1,291.69
  6. Step 6: Final answer
    x = 962.60

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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.