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Finding the Fourth Proportional to 963.56, 1,444.54 and 415.67

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Solution

The fourth proportional to 963.56, 1,444.54 and 415.67 is: 623.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.56 : 1,444.54 = 415.67 : x
  2. Step 2: Convert to fraction form
    963.56/1,444.54 = 415.67/x
  3. Step 3: Cross multiply
    963.56x = 1,444.54 × 415.67
  4. Step 4: Simplify right side
    963.56x = 600,451.94
  5. Step 5: Solve for x
    x = 600,451.94/963.56
  6. Step 6: Final answer
    x = 623.16

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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.