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Finding the Fourth Proportional to 1,557.57, 2,336.36 and 462.03

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Solution

The fourth proportional to 1,557.57, 2,336.36 and 462.03 is: 693.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.57 : 2,336.36 = 462.03 : x
  2. Step 2: Convert to fraction form
    1,557.57/2,336.36 = 462.03/x
  3. Step 3: Cross multiply
    1,557.57x = 2,336.36 × 462.03
  4. Step 4: Simplify right side
    1,557.57x = 1,079,466.10
  5. Step 5: Solve for x
    x = 1,079,466.10/1,557.57
  6. Step 6: Final answer
    x = 693.05

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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.