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Finding the Fourth Proportional to 734.31, 1,012.56 and 557.60

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Solution

The fourth proportional to 734.31, 1,012.56 and 557.60 is: 768.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.31 : 1,012.56 = 557.60 : x
  2. Step 2: Convert to fraction form
    734.31/1,012.56 = 557.60/x
  3. Step 3: Cross multiply
    734.31x = 1,012.56 × 557.60
  4. Step 4: Simplify right side
    734.31x = 564,602.89
  5. Step 5: Solve for x
    x = 564,602.89/734.31
  6. Step 6: Final answer
    x = 768.89

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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.