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Finding the Fourth Proportional to 758.19, 1,046.19 and 496.56

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Solution

The fourth proportional to 758.19, 1,046.19 and 496.56 is: 685.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.19 : 1,046.19 = 496.56 : x
  2. Step 2: Convert to fraction form
    758.19/1,046.19 = 496.56/x
  3. Step 3: Cross multiply
    758.19x = 1,046.19 × 496.56
  4. Step 4: Simplify right side
    758.19x = 519,496.11
  5. Step 5: Solve for x
    x = 519,496.11/758.19
  6. Step 6: Final answer
    x = 685.18

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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.