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Finding the Fourth Proportional to 1,055.67, 1,583.42 and 286.17

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Solution

The fourth proportional to 1,055.67, 1,583.42 and 286.17 is: 429.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.67 : 1,583.42 = 286.17 : x
  2. Step 2: Convert to fraction form
    1,055.67/1,583.42 = 286.17/x
  3. Step 3: Cross multiply
    1,055.67x = 1,583.42 × 286.17
  4. Step 4: Simplify right side
    1,055.67x = 453,125.87
  5. Step 5: Solve for x
    x = 453,125.87/1,055.67
  6. Step 6: Final answer
    x = 429.23

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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.