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Finding the Fourth Proportional to 964.94, 1,446.24 and 502.46

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Solution

The fourth proportional to 964.94, 1,446.24 and 502.46 is: 753.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.94 : 1,446.24 = 502.46 : x
  2. Step 2: Convert to fraction form
    964.94/1,446.24 = 502.46/x
  3. Step 3: Cross multiply
    964.94x = 1,446.24 × 502.46
  4. Step 4: Simplify right side
    964.94x = 726,670.52
  5. Step 5: Solve for x
    x = 726,670.52/964.94
  6. Step 6: Final answer
    x = 753.08

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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.