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Finding the Fourth Proportional to 899.76, 1,242 and 704.64

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Solution

The fourth proportional to 899.76, 1,242 and 704.64 is: 972.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.76 : 1,242 = 704.64 : x
  2. Step 2: Convert to fraction form
    899.76/1,242 = 704.64/x
  3. Step 3: Cross multiply
    899.76x = 1,242 × 704.64
  4. Step 4: Simplify right side
    899.76x = 875,162.88
  5. Step 5: Solve for x
    x = 875,162.88/899.76
  6. Step 6: Final answer
    x = 972.66

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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.