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Finding the Fourth Proportional to 828.79, 1,143.70 and 497.01

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Solution

The fourth proportional to 828.79, 1,143.70 and 497.01 is: 685.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.79 : 1,143.70 = 497.01 : x
  2. Step 2: Convert to fraction form
    828.79/1,143.70 = 497.01/x
  3. Step 3: Cross multiply
    828.79x = 1,143.70 × 497.01
  4. Step 4: Simplify right side
    828.79x = 568,430.34
  5. Step 5: Solve for x
    x = 568,430.34/828.79
  6. Step 6: Final answer
    x = 685.86

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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.