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Finding the Fourth Proportional to 746.01, 1,029.04 and 442.98

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Solution

The fourth proportional to 746.01, 1,029.04 and 442.98 is: 611.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.01 : 1,029.04 = 442.98 : x
  2. Step 2: Convert to fraction form
    746.01/1,029.04 = 442.98/x
  3. Step 3: Cross multiply
    746.01x = 1,029.04 × 442.98
  4. Step 4: Simplify right side
    746.01x = 455,842.72
  5. Step 5: Solve for x
    x = 455,842.72/746.01
  6. Step 6: Final answer
    x = 611.04

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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.