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Finding the Fourth Proportional to 1,317.31, 1,975.44 and 586.39

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Solution

The fourth proportional to 1,317.31, 1,975.44 and 586.39 is: 879.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.31 : 1,975.44 = 586.39 : x
  2. Step 2: Convert to fraction form
    1,317.31/1,975.44 = 586.39/x
  3. Step 3: Cross multiply
    1,317.31x = 1,975.44 × 586.39
  4. Step 4: Simplify right side
    1,317.31x = 1,158,378.26
  5. Step 5: Solve for x
    x = 1,158,378.26/1,317.31
  6. Step 6: Final answer
    x = 879.35

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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.