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Finding the Fourth Proportional to 1,531.81, 2,297.60 and 558.13

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Solution

The fourth proportional to 1,531.81, 2,297.60 and 558.13 is: 837.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.81 : 2,297.60 = 558.13 : x
  2. Step 2: Convert to fraction form
    1,531.81/2,297.60 = 558.13/x
  3. Step 3: Cross multiply
    1,531.81x = 2,297.60 × 558.13
  4. Step 4: Simplify right side
    1,531.81x = 1,282,356.70
  5. Step 5: Solve for x
    x = 1,282,356.70/1,531.81
  6. Step 6: Final answer
    x = 837.15

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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.