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Finding the Fourth Proportional to 1,557.66, 2,336.94 and 462.05

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Solution

The fourth proportional to 1,557.66, 2,336.94 and 462.05 is: 693.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.66 : 2,336.94 = 462.05 : x
  2. Step 2: Convert to fraction form
    1,557.66/2,336.94 = 462.05/x
  3. Step 3: Cross multiply
    1,557.66x = 2,336.94 × 462.05
  4. Step 4: Simplify right side
    1,557.66x = 1,079,783.13
  5. Step 5: Solve for x
    x = 1,079,783.13/1,557.66
  6. Step 6: Final answer
    x = 693.21

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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.