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Finding the Fourth Proportional to 963.35, 1,445.58 and 408.01

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Solution

The fourth proportional to 963.35, 1,445.58 and 408.01 is: 612.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.35 : 1,445.58 = 408.01 : x
  2. Step 2: Convert to fraction form
    963.35/1,445.58 = 408.01/x
  3. Step 3: Cross multiply
    963.35x = 1,445.58 × 408.01
  4. Step 4: Simplify right side
    963.35x = 589,811.10
  5. Step 5: Solve for x
    x = 589,811.10/963.35
  6. Step 6: Final answer
    x = 612.25

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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.