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Finding the Fourth Proportional to 874.77, 1,311.30 and 435.66

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Solution

The fourth proportional to 874.77, 1,311.30 and 435.66 is: 653.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.77 : 1,311.30 = 435.66 : x
  2. Step 2: Convert to fraction form
    874.77/1,311.30 = 435.66/x
  3. Step 3: Cross multiply
    874.77x = 1,311.30 × 435.66
  4. Step 4: Simplify right side
    874.77x = 571,280.96
  5. Step 5: Solve for x
    x = 571,280.96/874.77
  6. Step 6: Final answer
    x = 653.06

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