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Finding the Fourth Proportional to 899.77, 1,242.27 and 651.91

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Solution

The fourth proportional to 899.77, 1,242.27 and 651.91 is: 900.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.77 : 1,242.27 = 651.91 : x
  2. Step 2: Convert to fraction form
    899.77/1,242.27 = 651.91/x
  3. Step 3: Cross multiply
    899.77x = 1,242.27 × 651.91
  4. Step 4: Simplify right side
    899.77x = 809,848.24
  5. Step 5: Solve for x
    x = 809,848.24/899.77
  6. Step 6: Final answer
    x = 900.06

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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.