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Finding the Fourth Proportional to 1,142.83, 1,714.73 and 558.35

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Solution

The fourth proportional to 1,142.83, 1,714.73 and 558.35 is: 837.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.83 : 1,714.73 = 558.35 : x
  2. Step 2: Convert to fraction form
    1,142.83/1,714.73 = 558.35/x
  3. Step 3: Cross multiply
    1,142.83x = 1,714.73 × 558.35
  4. Step 4: Simplify right side
    1,142.83x = 957,408.13
  5. Step 5: Solve for x
    x = 957,408.13/1,142.83
  6. Step 6: Final answer
    x = 837.76

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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.