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Finding the Fourth Proportional to 727.54, 1,088.58 and 433.96

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Solution

The fourth proportional to 727.54, 1,088.58 and 433.96 is: 649.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.54 : 1,088.58 = 433.96 : x
  2. Step 2: Convert to fraction form
    727.54/1,088.58 = 433.96/x
  3. Step 3: Cross multiply
    727.54x = 1,088.58 × 433.96
  4. Step 4: Simplify right side
    727.54x = 472,400.18
  5. Step 5: Solve for x
    x = 472,400.18/727.54
  6. Step 6: Final answer
    x = 649.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.