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Finding the Fourth Proportional to 942.13, 1,300.13 and 574.13

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Solution

The fourth proportional to 942.13, 1,300.13 and 574.13 is: 792.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.13 : 1,300.13 = 574.13 : x
  2. Step 2: Convert to fraction form
    942.13/1,300.13 = 574.13/x
  3. Step 3: Cross multiply
    942.13x = 1,300.13 × 574.13
  4. Step 4: Simplify right side
    942.13x = 746,443.64
  5. Step 5: Solve for x
    x = 746,443.64/942.13
  6. Step 6: Final answer
    x = 792.29

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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.