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Finding the Fourth Proportional to 1,142.46, 1,714.02 and 564.90

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Solution

The fourth proportional to 1,142.46, 1,714.02 and 564.90 is: 847.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.46 : 1,714.02 = 564.90 : x
  2. Step 2: Convert to fraction form
    1,142.46/1,714.02 = 564.90/x
  3. Step 3: Cross multiply
    1,142.46x = 1,714.02 × 564.90
  4. Step 4: Simplify right side
    1,142.46x = 968,249.90
  5. Step 5: Solve for x
    x = 968,249.90/1,142.46
  6. Step 6: Final answer
    x = 847.51

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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.