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Finding the Fourth Proportional to 1,495.31, 2,242.42 and 507.96

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Solution

The fourth proportional to 1,495.31, 2,242.42 and 507.96 is: 761.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.31 : 2,242.42 = 507.96 : x
  2. Step 2: Convert to fraction form
    1,495.31/2,242.42 = 507.96/x
  3. Step 3: Cross multiply
    1,495.31x = 2,242.42 × 507.96
  4. Step 4: Simplify right side
    1,495.31x = 1,139,058.39
  5. Step 5: Solve for x
    x = 1,139,058.39/1,495.31
  6. Step 6: Final answer
    x = 761.76

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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.