Home / 1,317.74-1,975.19-586.31

Finding the Fourth Proportional to 1,317.74, 1,975.19 and 586.31

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Solution

The fourth proportional to 1,317.74, 1,975.19 and 586.31 is: 878.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.74 : 1,975.19 = 586.31 : x
  2. Step 2: Convert to fraction form
    1,317.74/1,975.19 = 586.31/x
  3. Step 3: Cross multiply
    1,317.74x = 1,975.19 × 586.31
  4. Step 4: Simplify right side
    1,317.74x = 1,158,060.84
  5. Step 5: Solve for x
    x = 1,158,060.84/1,317.74
  6. Step 6: Final answer
    x = 878.83

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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.