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Finding the Fourth Proportional to 942.77, 1,301.06 and 569.67

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Solution

The fourth proportional to 942.77, 1,301.06 and 569.67 is: 786.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.77 : 1,301.06 = 569.67 : x
  2. Step 2: Convert to fraction form
    942.77/1,301.06 = 569.67/x
  3. Step 3: Cross multiply
    942.77x = 1,301.06 × 569.67
  4. Step 4: Simplify right side
    942.77x = 741,179.97
  5. Step 5: Solve for x
    x = 741,179.97/942.77
  6. Step 6: Final answer
    x = 786.17

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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.