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Finding the Fourth Proportional to 730.83, 1,008.06 and 435.88

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Solution

The fourth proportional to 730.83, 1,008.06 and 435.88 is: 601.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.83 : 1,008.06 = 435.88 : x
  2. Step 2: Convert to fraction form
    730.83/1,008.06 = 435.88/x
  3. Step 3: Cross multiply
    730.83x = 1,008.06 × 435.88
  4. Step 4: Simplify right side
    730.83x = 439,393.19
  5. Step 5: Solve for x
    x = 439,393.19/730.83
  6. Step 6: Final answer
    x = 601.22

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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.