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Finding the Fourth Proportional to 963.88, 1,444.58 and 617.08

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Solution

The fourth proportional to 963.88, 1,444.58 and 617.08 is: 924.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.88 : 1,444.58 = 617.08 : x
  2. Step 2: Convert to fraction form
    963.88/1,444.58 = 617.08/x
  3. Step 3: Cross multiply
    963.88x = 1,444.58 × 617.08
  4. Step 4: Simplify right side
    963.88x = 891,421.43
  5. Step 5: Solve for x
    x = 891,421.43/963.88
  6. Step 6: Final answer
    x = 924.83

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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.