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Finding the Fourth Proportional to 862.36, 1,293.76 and 285.24

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Solution

The fourth proportional to 862.36, 1,293.76 and 285.24 is: 427.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.36 : 1,293.76 = 285.24 : x
  2. Step 2: Convert to fraction form
    862.36/1,293.76 = 285.24/x
  3. Step 3: Cross multiply
    862.36x = 1,293.76 × 285.24
  4. Step 4: Simplify right side
    862.36x = 369,032.10
  5. Step 5: Solve for x
    x = 369,032.10/862.36
  6. Step 6: Final answer
    x = 427.93

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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.