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Finding the Fourth Proportional to 1,235.77, 1,853.99 and 505.86

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Solution

The fourth proportional to 1,235.77, 1,853.99 and 505.86 is: 758.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.77 : 1,853.99 = 505.86 : x
  2. Step 2: Convert to fraction form
    1,235.77/1,853.99 = 505.86/x
  3. Step 3: Cross multiply
    1,235.77x = 1,853.99 × 505.86
  4. Step 4: Simplify right side
    1,235.77x = 937,862.23
  5. Step 5: Solve for x
    x = 937,862.23/1,235.77
  6. Step 6: Final answer
    x = 758.93

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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.