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Finding the Fourth Proportional to 729.51, 1,006.05 and 543.47

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Solution

The fourth proportional to 729.51, 1,006.05 and 543.47 is: 749.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.51 : 1,006.05 = 543.47 : x
  2. Step 2: Convert to fraction form
    729.51/1,006.05 = 543.47/x
  3. Step 3: Cross multiply
    729.51x = 1,006.05 × 543.47
  4. Step 4: Simplify right side
    729.51x = 546,752.96
  5. Step 5: Solve for x
    x = 546,752.96/729.51
  6. Step 6: Final answer
    x = 749.48

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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.