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Finding the Fourth Proportional to 745.52, 1,029.32 and 466.17

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Solution

The fourth proportional to 745.52, 1,029.32 and 466.17 is: 643.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.52 : 1,029.32 = 466.17 : x
  2. Step 2: Convert to fraction form
    745.52/1,029.32 = 466.17/x
  3. Step 3: Cross multiply
    745.52x = 1,029.32 × 466.17
  4. Step 4: Simplify right side
    745.52x = 479,835.77
  5. Step 5: Solve for x
    x = 479,835.77/745.52
  6. Step 6: Final answer
    x = 643.63

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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.