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Finding the Fourth Proportional to 796.51, 1,099.74 and 586.72

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Solution

The fourth proportional to 796.51, 1,099.74 and 586.72 is: 810.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.51 : 1,099.74 = 586.72 : x
  2. Step 2: Convert to fraction form
    796.51/1,099.74 = 586.72/x
  3. Step 3: Cross multiply
    796.51x = 1,099.74 × 586.72
  4. Step 4: Simplify right side
    796.51x = 645,239.45
  5. Step 5: Solve for x
    x = 645,239.45/796.51
  6. Step 6: Final answer
    x = 810.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.