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Finding the Fourth Proportional to 1,073.86, 1,610.76 and 587.86

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Solution

The fourth proportional to 1,073.86, 1,610.76 and 587.86 is: 881.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.86 : 1,610.76 = 587.86 : x
  2. Step 2: Convert to fraction form
    1,073.86/1,610.76 = 587.86/x
  3. Step 3: Cross multiply
    1,073.86x = 1,610.76 × 587.86
  4. Step 4: Simplify right side
    1,073.86x = 946,901.37
  5. Step 5: Solve for x
    x = 946,901.37/1,073.86
  6. Step 6: Final answer
    x = 881.77

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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.