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Finding the Fourth Proportional to 964.22, 1,329.33 and 753.57

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Solution

The fourth proportional to 964.22, 1,329.33 and 753.57 is: 1,038.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.22 : 1,329.33 = 753.57 : x
  2. Step 2: Convert to fraction form
    964.22/1,329.33 = 753.57/x
  3. Step 3: Cross multiply
    964.22x = 1,329.33 × 753.57
  4. Step 4: Simplify right side
    964.22x = 1,001,743.21
  5. Step 5: Solve for x
    x = 1,001,743.21/964.22
  6. Step 6: Final answer
    x = 1,038.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.