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Finding the Fourth Proportional to 964.03, 1,442.29 and 733.58

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Solution

The fourth proportional to 964.03, 1,442.29 and 733.58 is: 1,097.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.03 : 1,442.29 = 733.58 : x
  2. Step 2: Convert to fraction form
    964.03/1,442.29 = 733.58/x
  3. Step 3: Cross multiply
    964.03x = 1,442.29 × 733.58
  4. Step 4: Simplify right side
    964.03x = 1,058,035.10
  5. Step 5: Solve for x
    x = 1,058,035.10/964.03
  6. Step 6: Final answer
    x = 1,097.51

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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.