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Finding the Fourth Proportional to 1,146.69, 1,719.50 and 972.81

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Solution

The fourth proportional to 1,146.69, 1,719.50 and 972.81 is: 1,458.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.69 : 1,719.50 = 972.81 : x
  2. Step 2: Convert to fraction form
    1,146.69/1,719.50 = 972.81/x
  3. Step 3: Cross multiply
    1,146.69x = 1,719.50 × 972.81
  4. Step 4: Simplify right side
    1,146.69x = 1,672,741.93
  5. Step 5: Solve for x
    x = 1,672,741.93/1,146.69
  6. Step 6: Final answer
    x = 1,458.76

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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.