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Finding the Fourth Proportional to 740.91, 1,022.67 and 460.99

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Solution

The fourth proportional to 740.91, 1,022.67 and 460.99 is: 636.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.91 : 1,022.67 = 460.99 : x
  2. Step 2: Convert to fraction form
    740.91/1,022.67 = 460.99/x
  3. Step 3: Cross multiply
    740.91x = 1,022.67 × 460.99
  4. Step 4: Simplify right side
    740.91x = 471,440.64
  5. Step 5: Solve for x
    x = 471,440.64/740.91
  6. Step 6: Final answer
    x = 636.30

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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.