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Finding the Fourth Proportional to 1,134.86, 1,701.42 and 586.69

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Solution

The fourth proportional to 1,134.86, 1,701.42 and 586.69 is: 879.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.86 : 1,701.42 = 586.69 : x
  2. Step 2: Convert to fraction form
    1,134.86/1,701.42 = 586.69/x
  3. Step 3: Cross multiply
    1,134.86x = 1,701.42 × 586.69
  4. Step 4: Simplify right side
    1,134.86x = 998,206.83
  5. Step 5: Solve for x
    x = 998,206.83/1,134.86
  6. Step 6: Final answer
    x = 879.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.