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Finding the Fourth Proportional to 1,055.21, 1,456.20 and 583.12

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Solution

The fourth proportional to 1,055.21, 1,456.20 and 583.12 is: 804.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.21 : 1,456.20 = 583.12 : x
  2. Step 2: Convert to fraction form
    1,055.21/1,456.20 = 583.12/x
  3. Step 3: Cross multiply
    1,055.21x = 1,456.20 × 583.12
  4. Step 4: Simplify right side
    1,055.21x = 849,139.34
  5. Step 5: Solve for x
    x = 849,139.34/1,055.21
  6. Step 6: Final answer
    x = 804.71

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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.