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Finding the Fourth Proportional to 771.84, 1,064.07 and 604.98

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Solution

The fourth proportional to 771.84, 1,064.07 and 604.98 is: 834.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.84 : 1,064.07 = 604.98 : x
  2. Step 2: Convert to fraction form
    771.84/1,064.07 = 604.98/x
  3. Step 3: Cross multiply
    771.84x = 1,064.07 × 604.98
  4. Step 4: Simplify right side
    771.84x = 643,741.07
  5. Step 5: Solve for x
    x = 643,741.07/771.84
  6. Step 6: Final answer
    x = 834.03

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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.