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Finding the Fourth Proportional to 735.38, 1,014.90 and 455.63

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Solution

The fourth proportional to 735.38, 1,014.90 and 455.63 is: 628.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.38 : 1,014.90 = 455.63 : x
  2. Step 2: Convert to fraction form
    735.38/1,014.90 = 455.63/x
  3. Step 3: Cross multiply
    735.38x = 1,014.90 × 455.63
  4. Step 4: Simplify right side
    735.38x = 462,415.95
  5. Step 5: Solve for x
    x = 462,415.95/735.38
  6. Step 6: Final answer
    x = 628.81

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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.