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Finding the Fourth Proportional to 1,066.81, 1,472.24 and 601.06

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Solution

The fourth proportional to 1,066.81, 1,472.24 and 601.06 is: 829.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.81 : 1,472.24 = 601.06 : x
  2. Step 2: Convert to fraction form
    1,066.81/1,472.24 = 601.06/x
  3. Step 3: Cross multiply
    1,066.81x = 1,472.24 × 601.06
  4. Step 4: Simplify right side
    1,066.81x = 884,904.57
  5. Step 5: Solve for x
    x = 884,904.57/1,066.81
  6. Step 6: Final answer
    x = 829.49

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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.