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Finding the Fourth Proportional to 964.66, 1,447.35 and 723.22

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Solution

The fourth proportional to 964.66, 1,447.35 and 723.22 is: 1,085.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.66 : 1,447.35 = 723.22 : x
  2. Step 2: Convert to fraction form
    964.66/1,447.35 = 723.22/x
  3. Step 3: Cross multiply
    964.66x = 1,447.35 × 723.22
  4. Step 4: Simplify right side
    964.66x = 1,046,752.47
  5. Step 5: Solve for x
    x = 1,046,752.47/964.66
  6. Step 6: Final answer
    x = 1,085.10

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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.