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Finding the Fourth Proportional to 943.53, 1,302.23 and 570.53

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Solution

The fourth proportional to 943.53, 1,302.23 and 570.53 is: 787.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.53 : 1,302.23 = 570.53 : x
  2. Step 2: Convert to fraction form
    943.53/1,302.23 = 570.53/x
  3. Step 3: Cross multiply
    943.53x = 1,302.23 × 570.53
  4. Step 4: Simplify right side
    943.53x = 742,961.28
  5. Step 5: Solve for x
    x = 742,961.28/943.53
  6. Step 6: Final answer
    x = 787.43

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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.