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Finding the Fourth Proportional to 798.82, 1,102.74 and 504.52

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Solution

The fourth proportional to 798.82, 1,102.74 and 504.52 is: 696.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.82 : 1,102.74 = 504.52 : x
  2. Step 2: Convert to fraction form
    798.82/1,102.74 = 504.52/x
  3. Step 3: Cross multiply
    798.82x = 1,102.74 × 504.52
  4. Step 4: Simplify right side
    798.82x = 556,354.38
  5. Step 5: Solve for x
    x = 556,354.38/798.82
  6. Step 6: Final answer
    x = 696.47

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Double scale
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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.