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Finding the Fourth Proportional to 1,055.25, 1,582.61 and 622.71

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Solution

The fourth proportional to 1,055.25, 1,582.61 and 622.71 is: 933.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.25 : 1,582.61 = 622.71 : x
  2. Step 2: Convert to fraction form
    1,055.25/1,582.61 = 622.71/x
  3. Step 3: Cross multiply
    1,055.25x = 1,582.61 × 622.71
  4. Step 4: Simplify right side
    1,055.25x = 985,503.96
  5. Step 5: Solve for x
    x = 985,503.96/1,055.25
  6. Step 6: Final answer
    x = 933.91

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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.