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Finding the Fourth Proportional to 696.74, 1,046.32 and 533.93

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Solution

The fourth proportional to 696.74, 1,046.32 and 533.93 is: 801.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.74 : 1,046.32 = 533.93 : x
  2. Step 2: Convert to fraction form
    696.74/1,046.32 = 533.93/x
  3. Step 3: Cross multiply
    696.74x = 1,046.32 × 533.93
  4. Step 4: Simplify right side
    696.74x = 558,655.07
  5. Step 5: Solve for x
    x = 558,655.07/696.74
  6. Step 6: Final answer
    x = 801.82

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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.