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Finding the Fourth Proportional to 816.54, 1,126.84 and 467.22

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Solution

The fourth proportional to 816.54, 1,126.84 and 467.22 is: 644.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.54 : 1,126.84 = 467.22 : x
  2. Step 2: Convert to fraction form
    816.54/1,126.84 = 467.22/x
  3. Step 3: Cross multiply
    816.54x = 1,126.84 × 467.22
  4. Step 4: Simplify right side
    816.54x = 526,482.18
  5. Step 5: Solve for x
    x = 526,482.18/816.54
  6. Step 6: Final answer
    x = 644.77

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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.