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Finding the Fourth Proportional to 1,164.04, 1,606.49 and 666.76

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Solution

The fourth proportional to 1,164.04, 1,606.49 and 666.76 is: 920.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.04 : 1,606.49 = 666.76 : x
  2. Step 2: Convert to fraction form
    1,164.04/1,606.49 = 666.76/x
  3. Step 3: Cross multiply
    1,164.04x = 1,606.49 × 666.76
  4. Step 4: Simplify right side
    1,164.04x = 1,071,143.27
  5. Step 5: Solve for x
    x = 1,071,143.27/1,164.04
  6. Step 6: Final answer
    x = 920.19

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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.