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Finding the Fourth Proportional to 1,164.64, 1,607.19 and 698.89

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Solution

The fourth proportional to 1,164.64, 1,607.19 and 698.89 is: 964.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.64 : 1,607.19 = 698.89 : x
  2. Step 2: Convert to fraction form
    1,164.64/1,607.19 = 698.89/x
  3. Step 3: Cross multiply
    1,164.64x = 1,607.19 × 698.89
  4. Step 4: Simplify right side
    1,164.64x = 1,123,249.02
  5. Step 5: Solve for x
    x = 1,123,249.02/1,164.64
  6. Step 6: Final answer
    x = 964.46

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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.