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Finding the Fourth Proportional to 1,055.38, 1,583.07 and 285.88

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Solution

The fourth proportional to 1,055.38, 1,583.07 and 285.88 is: 428.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.38 : 1,583.07 = 285.88 : x
  2. Step 2: Convert to fraction form
    1,055.38/1,583.07 = 285.88/x
  3. Step 3: Cross multiply
    1,055.38x = 1,583.07 × 285.88
  4. Step 4: Simplify right side
    1,055.38x = 452,568.05
  5. Step 5: Solve for x
    x = 452,568.05/1,055.38
  6. Step 6: Final answer
    x = 428.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.