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Finding the Fourth Proportional to 1,532.26, 2,297.01 and 557.67

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Solution

The fourth proportional to 1,532.26, 2,297.01 and 557.67 is: 836.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.26 : 2,297.01 = 557.67 : x
  2. Step 2: Convert to fraction form
    1,532.26/2,297.01 = 557.67/x
  3. Step 3: Cross multiply
    1,532.26x = 2,297.01 × 557.67
  4. Step 4: Simplify right side
    1,532.26x = 1,280,973.57
  5. Step 5: Solve for x
    x = 1,280,973.57/1,532.26
  6. Step 6: Final answer
    x = 836.00

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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.