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Finding the Fourth Proportional to 962.23, 1,319.71 and 922.54

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Solution

The fourth proportional to 962.23, 1,319.71 and 922.54 is: 1,265.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.23 : 1,319.71 = 922.54 : x
  2. Step 2: Convert to fraction form
    962.23/1,319.71 = 922.54/x
  3. Step 3: Cross multiply
    962.23x = 1,319.71 × 922.54
  4. Step 4: Simplify right side
    962.23x = 1,217,480.65
  5. Step 5: Solve for x
    x = 1,217,480.65/962.23
  6. Step 6: Final answer
    x = 1,265.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.