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Finding the Fourth Proportional to 729.06, 1,005.93 and 434.30

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Solution

The fourth proportional to 729.06, 1,005.93 and 434.30 is: 599.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.06 : 1,005.93 = 434.30 : x
  2. Step 2: Convert to fraction form
    729.06/1,005.93 = 434.30/x
  3. Step 3: Cross multiply
    729.06x = 1,005.93 × 434.30
  4. Step 4: Simplify right side
    729.06x = 436,870.37
  5. Step 5: Solve for x
    x = 436,870.37/729.06
  6. Step 6: Final answer
    x = 599.22

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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.