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Finding the Fourth Proportional to 900.84, 1,243.86 and 704.02

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Solution

The fourth proportional to 900.84, 1,243.86 and 704.02 is: 972.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.84 : 1,243.86 = 704.02 : x
  2. Step 2: Convert to fraction form
    900.84/1,243.86 = 704.02/x
  3. Step 3: Cross multiply
    900.84x = 1,243.86 × 704.02
  4. Step 4: Simplify right side
    900.84x = 875,702.32
  5. Step 5: Solve for x
    x = 875,702.32/900.84
  6. Step 6: Final answer
    x = 972.10

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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.