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Finding the Fourth Proportional to 1,301.67, 1,948.86 and 716.04

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Solution

The fourth proportional to 1,301.67, 1,948.86 and 716.04 is: 1,072.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.67 : 1,948.86 = 716.04 : x
  2. Step 2: Convert to fraction form
    1,301.67/1,948.86 = 716.04/x
  3. Step 3: Cross multiply
    1,301.67x = 1,948.86 × 716.04
  4. Step 4: Simplify right side
    1,301.67x = 1,395,461.71
  5. Step 5: Solve for x
    x = 1,395,461.71/1,301.67
  6. Step 6: Final answer
    x = 1,072.05

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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.