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Finding the Fourth Proportional to 735.65, 1,015.01 and 416.62

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Solution

The fourth proportional to 735.65, 1,015.01 and 416.62 is: 574.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.65 : 1,015.01 = 416.62 : x
  2. Step 2: Convert to fraction form
    735.65/1,015.01 = 416.62/x
  3. Step 3: Cross multiply
    735.65x = 1,015.01 × 416.62
  4. Step 4: Simplify right side
    735.65x = 422,875.48
  5. Step 5: Solve for x
    x = 422,875.48/735.65
  6. Step 6: Final answer
    x = 574.84

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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.