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Finding the Fourth Proportional to 1,238.98, 1,858.16 and 508.76

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Solution

The fourth proportional to 1,238.98, 1,858.16 and 508.76 is: 763.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.98 : 1,858.16 = 508.76 : x
  2. Step 2: Convert to fraction form
    1,238.98/1,858.16 = 508.76/x
  3. Step 3: Cross multiply
    1,238.98x = 1,858.16 × 508.76
  4. Step 4: Simplify right side
    1,238.98x = 945,357.48
  5. Step 5: Solve for x
    x = 945,357.48/1,238.98
  6. Step 6: Final answer
    x = 763.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.