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Finding the Fourth Proportional to 747.50, 1,030.84 and 467.34

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Solution

The fourth proportional to 747.50, 1,030.84 and 467.34 is: 644.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.50 : 1,030.84 = 467.34 : x
  2. Step 2: Convert to fraction form
    747.50/1,030.84 = 467.34/x
  3. Step 3: Cross multiply
    747.50x = 1,030.84 × 467.34
  4. Step 4: Simplify right side
    747.50x = 481,747.73
  5. Step 5: Solve for x
    x = 481,747.73/747.50
  6. Step 6: Final answer
    x = 644.48

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1.5x scale

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.