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Finding the Fourth Proportional to 1,055.57, 1,582.94 and 616.97

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Solution

The fourth proportional to 1,055.57, 1,582.94 and 616.97 is: 925.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.57 : 1,582.94 = 616.97 : x
  2. Step 2: Convert to fraction form
    1,055.57/1,582.94 = 616.97/x
  3. Step 3: Cross multiply
    1,055.57x = 1,582.94 × 616.97
  4. Step 4: Simplify right side
    1,055.57x = 976,626.06
  5. Step 5: Solve for x
    x = 976,626.06/1,055.57
  6. Step 6: Final answer
    x = 925.21

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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.