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Finding the Fourth Proportional to 1,238.95, 1,857.02 and 508.12

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Solution

The fourth proportional to 1,238.95, 1,857.02 and 508.12 is: 761.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.95 : 1,857.02 = 508.12 : x
  2. Step 2: Convert to fraction form
    1,238.95/1,857.02 = 508.12/x
  3. Step 3: Cross multiply
    1,238.95x = 1,857.02 × 508.12
  4. Step 4: Simplify right side
    1,238.95x = 943,589.00
  5. Step 5: Solve for x
    x = 943,589.00/1,238.95
  6. Step 6: Final answer
    x = 761.60

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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.