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Finding the Fourth Proportional to 962.24, 1,326.24 and 729.44

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Solution

The fourth proportional to 962.24, 1,326.24 and 729.44 is: 1,005.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.24 : 1,326.24 = 729.44 : x
  2. Step 2: Convert to fraction form
    962.24/1,326.24 = 729.44/x
  3. Step 3: Cross multiply
    962.24x = 1,326.24 × 729.44
  4. Step 4: Simplify right side
    962.24x = 967,412.51
  5. Step 5: Solve for x
    x = 967,412.51/962.24
  6. Step 6: Final answer
    x = 1,005.38

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1.5x scale

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.