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Finding the Fourth Proportional to 696.51, 1,045.23 and 491.49

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Solution

The fourth proportional to 696.51, 1,045.23 and 491.49 is: 737.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.51 : 1,045.23 = 491.49 : x
  2. Step 2: Convert to fraction form
    696.51/1,045.23 = 491.49/x
  3. Step 3: Cross multiply
    696.51x = 1,045.23 × 491.49
  4. Step 4: Simplify right side
    696.51x = 513,720.09
  5. Step 5: Solve for x
    x = 513,720.09/696.51
  6. Step 6: Final answer
    x = 737.56

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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.