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Finding the Fourth Proportional to 1,285.00, 1,925.21 and 462.76

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Solution

The fourth proportional to 1,285.00, 1,925.21 and 462.76 is: 693.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.00 : 1,925.21 = 462.76 : x
  2. Step 2: Convert to fraction form
    1,285.00/1,925.21 = 462.76/x
  3. Step 3: Cross multiply
    1,285.00x = 1,925.21 × 462.76
  4. Step 4: Simplify right side
    1,285.00x = 890,906.52
  5. Step 5: Solve for x
    x = 890,906.52/1,285.00
  6. Step 6: Final answer
    x = 693.31

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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.