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Finding the Fourth Proportional to 729.16, 1,006.34 and 467.08

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Solution

The fourth proportional to 729.16, 1,006.34 and 467.08 is: 644.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.16 : 1,006.34 = 467.08 : x
  2. Step 2: Convert to fraction form
    729.16/1,006.34 = 467.08/x
  3. Step 3: Cross multiply
    729.16x = 1,006.34 × 467.08
  4. Step 4: Simplify right side
    729.16x = 470,041.29
  5. Step 5: Solve for x
    x = 470,041.29/729.16
  6. Step 6: Final answer
    x = 644.63

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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.