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Finding the Fourth Proportional to 728.98, 1,006.05 and 612.34

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Solution

The fourth proportional to 728.98, 1,006.05 and 612.34 is: 845.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.98 : 1,006.05 = 612.34 : x
  2. Step 2: Convert to fraction form
    728.98/1,006.05 = 612.34/x
  3. Step 3: Cross multiply
    728.98x = 1,006.05 × 612.34
  4. Step 4: Simplify right side
    728.98x = 616,044.66
  5. Step 5: Solve for x
    x = 616,044.66/728.98
  6. Step 6: Final answer
    x = 845.08

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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.