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Finding the Fourth Proportional to 1,302.73, 1,951 and 716.87

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Solution

The fourth proportional to 1,302.73, 1,951 and 716.87 is: 1,073.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.73 : 1,951 = 716.87 : x
  2. Step 2: Convert to fraction form
    1,302.73/1,951 = 716.87/x
  3. Step 3: Cross multiply
    1,302.73x = 1,951 × 716.87
  4. Step 4: Simplify right side
    1,302.73x = 1,398,613.37
  5. Step 5: Solve for x
    x = 1,398,613.37/1,302.73
  6. Step 6: Final answer
    x = 1,073.60

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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.