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Finding the Fourth Proportional to 727.86, 1,009.44 and 666.35

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Solution

The fourth proportional to 727.86, 1,009.44 and 666.35 is: 924.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.86 : 1,009.44 = 666.35 : x
  2. Step 2: Convert to fraction form
    727.86/1,009.44 = 666.35/x
  3. Step 3: Cross multiply
    727.86x = 1,009.44 × 666.35
  4. Step 4: Simplify right side
    727.86x = 672,640.05
  5. Step 5: Solve for x
    x = 672,640.05/727.86
  6. Step 6: Final answer
    x = 924.13

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.