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Finding the Fourth Proportional to 963.58, 1,445.79 and 922.06

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Solution

The fourth proportional to 963.58, 1,445.79 and 922.06 is: 1,383.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.58 : 1,445.79 = 922.06 : x
  2. Step 2: Convert to fraction form
    963.58/1,445.79 = 922.06/x
  3. Step 3: Cross multiply
    963.58x = 1,445.79 × 922.06
  4. Step 4: Simplify right side
    963.58x = 1,333,101.51
  5. Step 5: Solve for x
    x = 1,333,101.51/963.58
  6. Step 6: Final answer
    x = 1,383.49

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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.