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Finding the Fourth Proportional to 1,066.98, 1,597.89 and 883.02

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Solution

The fourth proportional to 1,066.98, 1,597.89 and 883.02 is: 1,322.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.98 : 1,597.89 = 883.02 : x
  2. Step 2: Convert to fraction form
    1,066.98/1,597.89 = 883.02/x
  3. Step 3: Cross multiply
    1,066.98x = 1,597.89 × 883.02
  4. Step 4: Simplify right side
    1,066.98x = 1,410,968.83
  5. Step 5: Solve for x
    x = 1,410,968.83/1,066.98
  6. Step 6: Final answer
    x = 1,322.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.