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Finding the Fourth Proportional to 732.70, 1,009.29 and 557.74

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Solution

The fourth proportional to 732.70, 1,009.29 and 557.74 is: 768.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.70 : 1,009.29 = 557.74 : x
  2. Step 2: Convert to fraction form
    732.70/1,009.29 = 557.74/x
  3. Step 3: Cross multiply
    732.70x = 1,009.29 × 557.74
  4. Step 4: Simplify right side
    732.70x = 562,921.40
  5. Step 5: Solve for x
    x = 562,921.40/732.70
  6. Step 6: Final answer
    x = 768.28

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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.