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Finding the Fourth Proportional to 733.08, 1,011.24 and 512.28

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Solution

The fourth proportional to 733.08, 1,011.24 and 512.28 is: 706.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.08 : 1,011.24 = 512.28 : x
  2. Step 2: Convert to fraction form
    733.08/1,011.24 = 512.28/x
  3. Step 3: Cross multiply
    733.08x = 1,011.24 × 512.28
  4. Step 4: Simplify right side
    733.08x = 518,038.03
  5. Step 5: Solve for x
    x = 518,038.03/733.08
  6. Step 6: Final answer
    x = 706.66

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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.