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Finding the Fourth Proportional to 730.93, 1,008.64 and 416.11

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Solution

The fourth proportional to 730.93, 1,008.64 and 416.11 is: 574.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.93 : 1,008.64 = 416.11 : x
  2. Step 2: Convert to fraction form
    730.93/1,008.64 = 416.11/x
  3. Step 3: Cross multiply
    730.93x = 1,008.64 × 416.11
  4. Step 4: Simplify right side
    730.93x = 419,705.19
  5. Step 5: Solve for x
    x = 419,705.19/730.93
  6. Step 6: Final answer
    x = 574.21

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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.