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Finding the Fourth Proportional to 735.90, 1,015.36 and 416.87

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Solution

The fourth proportional to 735.90, 1,015.36 and 416.87 is: 575.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.90 : 1,015.36 = 416.87 : x
  2. Step 2: Convert to fraction form
    735.90/1,015.36 = 416.87/x
  3. Step 3: Cross multiply
    735.90x = 1,015.36 × 416.87
  4. Step 4: Simplify right side
    735.90x = 423,276.52
  5. Step 5: Solve for x
    x = 423,276.52/735.90
  6. Step 6: Final answer
    x = 575.19

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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.