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Finding the Fourth Proportional to 1,146.84, 1,582.44 and 969.20

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Solution

The fourth proportional to 1,146.84, 1,582.44 and 969.20 is: 1,337.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.84 : 1,582.44 = 969.20 : x
  2. Step 2: Convert to fraction form
    1,146.84/1,582.44 = 969.20/x
  3. Step 3: Cross multiply
    1,146.84x = 1,582.44 × 969.20
  4. Step 4: Simplify right side
    1,146.84x = 1,533,700.85
  5. Step 5: Solve for x
    x = 1,533,700.85/1,146.84
  6. Step 6: Final answer
    x = 1,337.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.