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Finding the Fourth Proportional to 1,237.82, 1,856.82 and 507.44

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Solution

The fourth proportional to 1,237.82, 1,856.82 and 507.44 is: 761.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.82 : 1,856.82 = 507.44 : x
  2. Step 2: Convert to fraction form
    1,237.82/1,856.82 = 507.44/x
  3. Step 3: Cross multiply
    1,237.82x = 1,856.82 × 507.44
  4. Step 4: Simplify right side
    1,237.82x = 942,224.74
  5. Step 5: Solve for x
    x = 942,224.74/1,237.82
  6. Step 6: Final answer
    x = 761.20

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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.