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Finding the Fourth Proportional to 730.85, 1,008.61 and 416.15

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Solution

The fourth proportional to 730.85, 1,008.61 and 416.15 is: 574.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.85 : 1,008.61 = 416.15 : x
  2. Step 2: Convert to fraction form
    730.85/1,008.61 = 416.15/x
  3. Step 3: Cross multiply
    730.85x = 1,008.61 × 416.15
  4. Step 4: Simplify right side
    730.85x = 419,733.05
  5. Step 5: Solve for x
    x = 419,733.05/730.85
  6. Step 6: Final answer
    x = 574.31

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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.