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Finding the Fourth Proportional to 963, 1,444.68 and 688.32

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Solution

The fourth proportional to 963, 1,444.68 and 688.32 is: 1,032.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    963 : 1,444.68 = 688.32 : x
  2. Step 2: Convert to fraction form
    963/1,444.68 = 688.32/x
  3. Step 3: Cross multiply
    963x = 1,444.68 × 688.32
  4. Step 4: Simplify right side
    963x = 994,402.14
  5. Step 5: Solve for x
    x = 994,402.14/963
  6. Step 6: Final answer
    x = 1,032.61

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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.