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Finding the Fourth Proportional to 889.96, 1,228.02 and 497.00

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Solution

The fourth proportional to 889.96, 1,228.02 and 497.00 is: 685.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.96 : 1,228.02 = 497.00 : x
  2. Step 2: Convert to fraction form
    889.96/1,228.02 = 497.00/x
  3. Step 3: Cross multiply
    889.96x = 1,228.02 × 497.00
  4. Step 4: Simplify right side
    889.96x = 610,319.80
  5. Step 5: Solve for x
    x = 610,319.80/889.96
  6. Step 6: Final answer
    x = 685.79

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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.