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Finding the Fourth Proportional to 828.06, 1,142.62 and 469.10

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Solution

The fourth proportional to 828.06, 1,142.62 and 469.10 is: 647.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.06 : 1,142.62 = 469.10 : x
  2. Step 2: Convert to fraction form
    828.06/1,142.62 = 469.10/x
  3. Step 3: Cross multiply
    828.06x = 1,142.62 × 469.10
  4. Step 4: Simplify right side
    828.06x = 536,003.04
  5. Step 5: Solve for x
    x = 536,003.04/828.06
  6. Step 6: Final answer
    x = 647.30

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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.