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Finding the Fourth Proportional to 1,557.76, 2,336.62 and 462.14

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Solution

The fourth proportional to 1,557.76, 2,336.62 and 462.14 is: 693.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.76 : 2,336.62 = 462.14 : x
  2. Step 2: Convert to fraction form
    1,557.76/2,336.62 = 462.14/x
  3. Step 3: Cross multiply
    1,557.76x = 2,336.62 × 462.14
  4. Step 4: Simplify right side
    1,557.76x = 1,079,833.88
  5. Step 5: Solve for x
    x = 1,079,833.88/1,557.76
  6. Step 6: Final answer
    x = 693.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.