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Finding the Fourth Proportional to 1,235.87, 1,853.87 and 414.07

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Solution

The fourth proportional to 1,235.87, 1,853.87 and 414.07 is: 621.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.87 : 1,853.87 = 414.07 : x
  2. Step 2: Convert to fraction form
    1,235.87/1,853.87 = 414.07/x
  3. Step 3: Cross multiply
    1,235.87x = 1,853.87 × 414.07
  4. Step 4: Simplify right side
    1,235.87x = 767,627.58
  5. Step 5: Solve for x
    x = 767,627.58/1,235.87
  6. Step 6: Final answer
    x = 621.12

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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.