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Finding the Fourth Proportional to 1,317.62, 1,975.86 and 586.69

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Solution

The fourth proportional to 1,317.62, 1,975.86 and 586.69 is: 879.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.62 : 1,975.86 = 586.69 : x
  2. Step 2: Convert to fraction form
    1,317.62/1,975.86 = 586.69/x
  3. Step 3: Cross multiply
    1,317.62x = 1,975.86 × 586.69
  4. Step 4: Simplify right side
    1,317.62x = 1,159,212.36
  5. Step 5: Solve for x
    x = 1,159,212.36/1,317.62
  6. Step 6: Final answer
    x = 879.78

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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.