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Finding the Fourth Proportional to 746.34, 1,030.14 and 466.80

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Solution

The fourth proportional to 746.34, 1,030.14 and 466.80 is: 644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.34 : 1,030.14 = 466.80 : x
  2. Step 2: Convert to fraction form
    746.34/1,030.14 = 466.80/x
  3. Step 3: Cross multiply
    746.34x = 1,030.14 × 466.80
  4. Step 4: Simplify right side
    746.34x = 480,869.35
  5. Step 5: Solve for x
    x = 480,869.35/746.34
  6. Step 6: Final answer
    x = 644.30

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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.