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Finding the Fourth Proportional to 735.40, 1,102.36 and 410.08

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Solution

The fourth proportional to 735.40, 1,102.36 and 410.08 is: 614.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.40 : 1,102.36 = 410.08 : x
  2. Step 2: Convert to fraction form
    735.40/1,102.36 = 410.08/x
  3. Step 3: Cross multiply
    735.40x = 1,102.36 × 410.08
  4. Step 4: Simplify right side
    735.40x = 452,055.79
  5. Step 5: Solve for x
    x = 452,055.79/735.40
  6. Step 6: Final answer
    x = 614.71

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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.