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Finding the Fourth Proportional to 874.04, 1,205.84 and 500.76

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Solution

The fourth proportional to 874.04, 1,205.84 and 500.76 is: 690.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.04 : 1,205.84 = 500.76 : x
  2. Step 2: Convert to fraction form
    874.04/1,205.84 = 500.76/x
  3. Step 3: Cross multiply
    874.04x = 1,205.84 × 500.76
  4. Step 4: Simplify right side
    874.04x = 603,837.69
  5. Step 5: Solve for x
    x = 603,837.69/874.04
  6. Step 6: Final answer
    x = 690.86

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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.