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Finding the Fourth Proportional to 1,173.30, 1,768.02 and 972.39

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Solution

The fourth proportional to 1,173.30, 1,768.02 and 972.39 is: 1,465.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.30 : 1,768.02 = 972.39 : x
  2. Step 2: Convert to fraction form
    1,173.30/1,768.02 = 972.39/x
  3. Step 3: Cross multiply
    1,173.30x = 1,768.02 × 972.39
  4. Step 4: Simplify right side
    1,173.30x = 1,719,204.97
  5. Step 5: Solve for x
    x = 1,719,204.97/1,173.30
  6. Step 6: Final answer
    x = 1,465.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.