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Finding the Fourth Proportional to 798.66, 1,102.05 and 467.07

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Solution

The fourth proportional to 798.66, 1,102.05 and 467.07 is: 644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.66 : 1,102.05 = 467.07 : x
  2. Step 2: Convert to fraction form
    798.66/1,102.05 = 467.07/x
  3. Step 3: Cross multiply
    798.66x = 1,102.05 × 467.07
  4. Step 4: Simplify right side
    798.66x = 514,734.49
  5. Step 5: Solve for x
    x = 514,734.49/798.66
  6. Step 6: Final answer
    x = 644.50

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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.