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Finding the Fourth Proportional to 773.06, 1,066.84 and 419.00

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Solution

The fourth proportional to 773.06, 1,066.84 and 419.00 is: 578.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.06 : 1,066.84 = 419.00 : x
  2. Step 2: Convert to fraction form
    773.06/1,066.84 = 419.00/x
  3. Step 3: Cross multiply
    773.06x = 1,066.84 × 419.00
  4. Step 4: Simplify right side
    773.06x = 447,001.46
  5. Step 5: Solve for x
    x = 447,001.46/773.06
  6. Step 6: Final answer
    x = 578.22

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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.