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Finding the Fourth Proportional to 735.30, 1,102.98 and 412.71

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Solution

The fourth proportional to 735.30, 1,102.98 and 412.71 is: 619.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.30 : 1,102.98 = 412.71 : x
  2. Step 2: Convert to fraction form
    735.30/1,102.98 = 412.71/x
  3. Step 3: Cross multiply
    735.30x = 1,102.98 × 412.71
  4. Step 4: Simplify right side
    735.30x = 455,210.88
  5. Step 5: Solve for x
    x = 455,210.88/735.30
  6. Step 6: Final answer
    x = 619.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.