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Finding the Fourth Proportional to 1,164.57, 1,607.25 and 667.32

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Solution

The fourth proportional to 1,164.57, 1,607.25 and 667.32 is: 920.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.57 : 1,607.25 = 667.32 : x
  2. Step 2: Convert to fraction form
    1,164.57/1,607.25 = 667.32/x
  3. Step 3: Cross multiply
    1,164.57x = 1,607.25 × 667.32
  4. Step 4: Simplify right side
    1,164.57x = 1,072,550.07
  5. Step 5: Solve for x
    x = 1,072,550.07/1,164.57
  6. Step 6: Final answer
    x = 920.98

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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.