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Finding the Fourth Proportional to 798.74, 1,102.16 and 467.10

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Solution

The fourth proportional to 798.74, 1,102.16 and 467.10 is: 644.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.74 : 1,102.16 = 467.10 : x
  2. Step 2: Convert to fraction form
    798.74/1,102.16 = 467.10/x
  3. Step 3: Cross multiply
    798.74x = 1,102.16 × 467.10
  4. Step 4: Simplify right side
    798.74x = 514,818.94
  5. Step 5: Solve for x
    x = 514,818.94/798.74
  6. Step 6: Final answer
    x = 644.54

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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.