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Finding the Fourth Proportional to 583.79, 874.83 and 536.06

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Solution

The fourth proportional to 583.79, 874.83 and 536.06 is: 803.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.79 : 874.83 = 536.06 : x
  2. Step 2: Convert to fraction form
    583.79/874.83 = 536.06/x
  3. Step 3: Cross multiply
    583.79x = 874.83 × 536.06
  4. Step 4: Simplify right side
    583.79x = 468,961.37
  5. Step 5: Solve for x
    x = 468,961.37/583.79
  6. Step 6: Final answer
    x = 803.30

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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.