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Finding the Fourth Proportional to 1,494.96, 2,242.53 and 629.34

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Solution

The fourth proportional to 1,494.96, 2,242.53 and 629.34 is: 944.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.96 : 2,242.53 = 629.34 : x
  2. Step 2: Convert to fraction form
    1,494.96/2,242.53 = 629.34/x
  3. Step 3: Cross multiply
    1,494.96x = 2,242.53 × 629.34
  4. Step 4: Simplify right side
    1,494.96x = 1,411,313.83
  5. Step 5: Solve for x
    x = 1,411,313.83/1,494.96
  6. Step 6: Final answer
    x = 944.05

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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.