Home / 1,317.83-1,976.09-586.98

Finding the Fourth Proportional to 1,317.83, 1,976.09 and 586.98

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Solution

The fourth proportional to 1,317.83, 1,976.09 and 586.98 is: 880.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.83 : 1,976.09 = 586.98 : x
  2. Step 2: Convert to fraction form
    1,317.83/1,976.09 = 586.98/x
  3. Step 3: Cross multiply
    1,317.83x = 1,976.09 × 586.98
  4. Step 4: Simplify right side
    1,317.83x = 1,159,922.37
  5. Step 5: Solve for x
    x = 1,159,922.37/1,317.83
  6. Step 6: Final answer
    x = 880.18

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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.