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Finding the Fourth Proportional to 1,557.65, 2,336.81 and 462.09

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Solution

The fourth proportional to 1,557.65, 2,336.81 and 462.09 is: 693.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.65 : 2,336.81 = 462.09 : x
  2. Step 2: Convert to fraction form
    1,557.65/2,336.81 = 462.09/x
  3. Step 3: Cross multiply
    1,557.65x = 2,336.81 × 462.09
  4. Step 4: Simplify right side
    1,557.65x = 1,079,814.22
  5. Step 5: Solve for x
    x = 1,079,814.22/1,557.65
  6. Step 6: Final answer
    x = 693.24

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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.