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Finding the Fourth Proportional to 746.70, 1,029.85 and 466.40

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Solution

The fourth proportional to 746.70, 1,029.85 and 466.40 is: 643.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.70 : 1,029.85 = 466.40 : x
  2. Step 2: Convert to fraction form
    746.70/1,029.85 = 466.40/x
  3. Step 3: Cross multiply
    746.70x = 1,029.85 × 466.40
  4. Step 4: Simplify right side
    746.70x = 480,322.04
  5. Step 5: Solve for x
    x = 480,322.04/746.70
  6. Step 6: Final answer
    x = 643.26

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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.