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Finding the Fourth Proportional to 1,494.02, 2,241.32 and 506.93

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Solution

The fourth proportional to 1,494.02, 2,241.32 and 506.93 is: 760.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.02 : 2,241.32 = 506.93 : x
  2. Step 2: Convert to fraction form
    1,494.02/2,241.32 = 506.93/x
  3. Step 3: Cross multiply
    1,494.02x = 2,241.32 × 506.93
  4. Step 4: Simplify right side
    1,494.02x = 1,136,178.61
  5. Step 5: Solve for x
    x = 1,136,178.61/1,494.02
  6. Step 6: Final answer
    x = 760.48

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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.