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Finding the Fourth Proportional to 740.46, 1,022.07 and 491.94

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Solution

The fourth proportional to 740.46, 1,022.07 and 491.94 is: 679.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.46 : 1,022.07 = 491.94 : x
  2. Step 2: Convert to fraction form
    740.46/1,022.07 = 491.94/x
  3. Step 3: Cross multiply
    740.46x = 1,022.07 × 491.94
  4. Step 4: Simplify right side
    740.46x = 502,797.12
  5. Step 5: Solve for x
    x = 502,797.12/740.46
  6. Step 6: Final answer
    x = 679.03

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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.