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Finding the Fourth Proportional to 745.59, 1,029.02 and 435.09

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Solution

The fourth proportional to 745.59, 1,029.02 and 435.09 is: 600.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.59 : 1,029.02 = 435.09 : x
  2. Step 2: Convert to fraction form
    745.59/1,029.02 = 435.09/x
  3. Step 3: Cross multiply
    745.59x = 1,029.02 × 435.09
  4. Step 4: Simplify right side
    745.59x = 447,714.14
  5. Step 5: Solve for x
    x = 447,714.14/745.59
  6. Step 6: Final answer
    x = 600.48

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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.