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Finding the Fourth Proportional to 942.77, 1,300.95 and 569.75

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Solution

The fourth proportional to 942.77, 1,300.95 and 569.75 is: 786.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.77 : 1,300.95 = 569.75 : x
  2. Step 2: Convert to fraction form
    942.77/1,300.95 = 569.75/x
  3. Step 3: Cross multiply
    942.77x = 1,300.95 × 569.75
  4. Step 4: Simplify right side
    942.77x = 741,216.26
  5. Step 5: Solve for x
    x = 741,216.26/942.77
  6. Step 6: Final answer
    x = 786.21

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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.