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Finding the Fourth Proportional to 745.42, 1,028.85 and 482.98

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Solution

The fourth proportional to 745.42, 1,028.85 and 482.98 is: 666.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.42 : 1,028.85 = 482.98 : x
  2. Step 2: Convert to fraction form
    745.42/1,028.85 = 482.98/x
  3. Step 3: Cross multiply
    745.42x = 1,028.85 × 482.98
  4. Step 4: Simplify right side
    745.42x = 496,911.40
  5. Step 5: Solve for x
    x = 496,911.40/745.42
  6. Step 6: Final answer
    x = 666.62

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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.