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Finding the Fourth Proportional to 943.14, 1,301.64 and 570.15

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Solution

The fourth proportional to 943.14, 1,301.64 and 570.15 is: 786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.14 : 1,301.64 = 570.15 : x
  2. Step 2: Convert to fraction form
    943.14/1,301.64 = 570.15/x
  3. Step 3: Cross multiply
    943.14x = 1,301.64 × 570.15
  4. Step 4: Simplify right side
    943.14x = 742,130.05
  5. Step 5: Solve for x
    x = 742,130.05/943.14
  6. Step 6: Final answer
    x = 786.87

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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.