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Finding the Fourth Proportional to 1,285.55, 1,927.16 and 463.25

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Solution

The fourth proportional to 1,285.55, 1,927.16 and 463.25 is: 694.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.55 : 1,927.16 = 463.25 : x
  2. Step 2: Convert to fraction form
    1,285.55/1,927.16 = 463.25/x
  3. Step 3: Cross multiply
    1,285.55x = 1,927.16 × 463.25
  4. Step 4: Simplify right side
    1,285.55x = 892,744.92
  5. Step 5: Solve for x
    x = 892,744.92/1,285.55
  6. Step 6: Final answer
    x = 694.45

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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.