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Finding the Fourth Proportional to 745.77, 1,029.66 and 466.42

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Solution

The fourth proportional to 745.77, 1,029.66 and 466.42 is: 643.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.77 : 1,029.66 = 466.42 : x
  2. Step 2: Convert to fraction form
    745.77/1,029.66 = 466.42/x
  3. Step 3: Cross multiply
    745.77x = 1,029.66 × 466.42
  4. Step 4: Simplify right side
    745.77x = 480,254.02
  5. Step 5: Solve for x
    x = 480,254.02/745.77
  6. Step 6: Final answer
    x = 643.98

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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.