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Finding the Fourth Proportional to 1,146.64, 1,582.86 and 884.20

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Solution

The fourth proportional to 1,146.64, 1,582.86 and 884.20 is: 1,220.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.64 : 1,582.86 = 884.20 : x
  2. Step 2: Convert to fraction form
    1,146.64/1,582.86 = 884.20/x
  3. Step 3: Cross multiply
    1,146.64x = 1,582.86 × 884.20
  4. Step 4: Simplify right side
    1,146.64x = 1,399,564.81
  5. Step 5: Solve for x
    x = 1,399,564.81/1,146.64
  6. Step 6: Final answer
    x = 1,220.58

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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.