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Finding the Fourth Proportional to 942.75, 1,301.00 and 574.75

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Solution

The fourth proportional to 942.75, 1,301.00 and 574.75 is: 793.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.75 : 1,301.00 = 574.75 : x
  2. Step 2: Convert to fraction form
    942.75/1,301.00 = 574.75/x
  3. Step 3: Cross multiply
    942.75x = 1,301.00 × 574.75
  4. Step 4: Simplify right side
    942.75x = 747,746.88
  5. Step 5: Solve for x
    x = 747,746.88/942.75
  6. Step 6: Final answer
    x = 793.16

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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.