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Finding the Fourth Proportional to 745.64, 1,029.04 and 431.01

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Solution

The fourth proportional to 745.64, 1,029.04 and 431.01 is: 594.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.64 : 1,029.04 = 431.01 : x
  2. Step 2: Convert to fraction form
    745.64/1,029.04 = 431.01/x
  3. Step 3: Cross multiply
    745.64x = 1,029.04 × 431.01
  4. Step 4: Simplify right side
    745.64x = 443,521.59
  5. Step 5: Solve for x
    x = 443,521.59/745.64
  6. Step 6: Final answer
    x = 594.82

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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.