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Finding the Fourth Proportional to 1,317.41, 1,975.51 and 586.97

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Solution

The fourth proportional to 1,317.41, 1,975.51 and 586.97 is: 880.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.41 : 1,975.51 = 586.97 : x
  2. Step 2: Convert to fraction form
    1,317.41/1,975.51 = 586.97/x
  3. Step 3: Cross multiply
    1,317.41x = 1,975.51 × 586.97
  4. Step 4: Simplify right side
    1,317.41x = 1,159,570.58
  5. Step 5: Solve for x
    x = 1,159,570.58/1,317.41
  6. Step 6: Final answer
    x = 880.19

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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.