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Finding the Fourth Proportional to 1,055.72, 1,584.05 and 611.16

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Solution

The fourth proportional to 1,055.72, 1,584.05 and 611.16 is: 917.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.72 : 1,584.05 = 611.16 : x
  2. Step 2: Convert to fraction form
    1,055.72/1,584.05 = 611.16/x
  3. Step 3: Cross multiply
    1,055.72x = 1,584.05 × 611.16
  4. Step 4: Simplify right side
    1,055.72x = 968,104.94
  5. Step 5: Solve for x
    x = 968,104.94/1,055.72
  6. Step 6: Final answer
    x = 917.01

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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.