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Finding the Fourth Proportional to 730.73, 1,008.04 and 435.76

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Solution

The fourth proportional to 730.73, 1,008.04 and 435.76 is: 601.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.73 : 1,008.04 = 435.76 : x
  2. Step 2: Convert to fraction form
    730.73/1,008.04 = 435.76/x
  3. Step 3: Cross multiply
    730.73x = 1,008.04 × 435.76
  4. Step 4: Simplify right side
    730.73x = 439,263.51
  5. Step 5: Solve for x
    x = 439,263.51/730.73
  6. Step 6: Final answer
    x = 601.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.