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Finding the Fourth Proportional to 1,142.81, 1,714.87 and 484.63

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Solution

The fourth proportional to 1,142.81, 1,714.87 and 484.63 is: 727.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.81 : 1,714.87 = 484.63 : x
  2. Step 2: Convert to fraction form
    1,142.81/1,714.87 = 484.63/x
  3. Step 3: Cross multiply
    1,142.81x = 1,714.87 × 484.63
  4. Step 4: Simplify right side
    1,142.81x = 831,083.41
  5. Step 5: Solve for x
    x = 831,083.41/1,142.81
  6. Step 6: Final answer
    x = 727.23

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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.