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Finding the Fourth Proportional to 952.44, 1,430.28 and 570.12

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Solution

The fourth proportional to 952.44, 1,430.28 and 570.12 is: 856.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.44 : 1,430.28 = 570.12 : x
  2. Step 2: Convert to fraction form
    952.44/1,430.28 = 570.12/x
  3. Step 3: Cross multiply
    952.44x = 1,430.28 × 570.12
  4. Step 4: Simplify right side
    952.44x = 815,431.23
  5. Step 5: Solve for x
    x = 815,431.23/952.44
  6. Step 6: Final answer
    x = 856.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.