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Finding the Fourth Proportional to 1,235.08, 1,850.14 and 586.27

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Solution

The fourth proportional to 1,235.08, 1,850.14 and 586.27 is: 878.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.08 : 1,850.14 = 586.27 : x
  2. Step 2: Convert to fraction form
    1,235.08/1,850.14 = 586.27/x
  3. Step 3: Cross multiply
    1,235.08x = 1,850.14 × 586.27
  4. Step 4: Simplify right side
    1,235.08x = 1,084,681.58
  5. Step 5: Solve for x
    x = 1,084,681.58/1,235.08
  6. Step 6: Final answer
    x = 878.23

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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.