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Finding the Fourth Proportional to 943.54, 1,301.92 and 570.50

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Solution

The fourth proportional to 943.54, 1,301.92 and 570.50 is: 787.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.54 : 1,301.92 = 570.50 : x
  2. Step 2: Convert to fraction form
    943.54/1,301.92 = 570.50/x
  3. Step 3: Cross multiply
    943.54x = 1,301.92 × 570.50
  4. Step 4: Simplify right side
    943.54x = 742,745.52
  5. Step 5: Solve for x
    x = 742,745.52/943.54
  6. Step 6: Final answer
    x = 787.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.