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Finding the Fourth Proportional to 727.74, 1,003.95 and 432.99

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Solution

The fourth proportional to 727.74, 1,003.95 and 432.99 is: 597.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.74 : 1,003.95 = 432.99 : x
  2. Step 2: Convert to fraction form
    727.74/1,003.95 = 432.99/x
  3. Step 3: Cross multiply
    727.74x = 1,003.95 × 432.99
  4. Step 4: Simplify right side
    727.74x = 434,700.31
  5. Step 5: Solve for x
    x = 434,700.31/727.74
  6. Step 6: Final answer
    x = 597.33

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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.