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Finding the Fourth Proportional to 1,055.06, 1,583.28 and 477.94

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Solution

The fourth proportional to 1,055.06, 1,583.28 and 477.94 is: 717.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.06 : 1,583.28 = 477.94 : x
  2. Step 2: Convert to fraction form
    1,055.06/1,583.28 = 477.94/x
  3. Step 3: Cross multiply
    1,055.06x = 1,583.28 × 477.94
  4. Step 4: Simplify right side
    1,055.06x = 756,712.84
  5. Step 5: Solve for x
    x = 756,712.84/1,055.06
  6. Step 6: Final answer
    x = 717.22

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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.