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Finding the Fourth Proportional to 1,142.08, 1,712.87 and 556.83

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Solution

The fourth proportional to 1,142.08, 1,712.87 and 556.83 is: 835.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.08 : 1,712.87 = 556.83 : x
  2. Step 2: Convert to fraction form
    1,142.08/1,712.87 = 556.83/x
  3. Step 3: Cross multiply
    1,142.08x = 1,712.87 × 556.83
  4. Step 4: Simplify right side
    1,142.08x = 953,777.40
  5. Step 5: Solve for x
    x = 953,777.40/1,142.08
  6. Step 6: Final answer
    x = 835.12

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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.