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Finding the Fourth Proportional to 828.17, 1,140.99 and 641.01

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Solution

The fourth proportional to 828.17, 1,140.99 and 641.01 is: 883.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.17 : 1,140.99 = 641.01 : x
  2. Step 2: Convert to fraction form
    828.17/1,140.99 = 641.01/x
  3. Step 3: Cross multiply
    828.17x = 1,140.99 × 641.01
  4. Step 4: Simplify right side
    828.17x = 731,386.00
  5. Step 5: Solve for x
    x = 731,386.00/828.17
  6. Step 6: Final answer
    x = 883.14

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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.