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Finding the Fourth Proportional to 771.06, 1,064.57 and 476.76

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Solution

The fourth proportional to 771.06, 1,064.57 and 476.76 is: 658.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.06 : 1,064.57 = 476.76 : x
  2. Step 2: Convert to fraction form
    771.06/1,064.57 = 476.76/x
  3. Step 3: Cross multiply
    771.06x = 1,064.57 × 476.76
  4. Step 4: Simplify right side
    771.06x = 507,544.39
  5. Step 5: Solve for x
    x = 507,544.39/771.06
  6. Step 6: Final answer
    x = 658.24

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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.