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Finding the Fourth Proportional to 889.97, 1,228.16 and 497.00

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Solution

The fourth proportional to 889.97, 1,228.16 and 497.00 is: 685.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.97 : 1,228.16 = 497.00 : x
  2. Step 2: Convert to fraction form
    889.97/1,228.16 = 497.00/x
  3. Step 3: Cross multiply
    889.97x = 1,228.16 × 497.00
  4. Step 4: Simplify right side
    889.97x = 610,386.89
  5. Step 5: Solve for x
    x = 610,386.89/889.97
  6. Step 6: Final answer
    x = 685.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.