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Finding the Fourth Proportional to 818.42, 1,226.58 and 715.22

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Solution

The fourth proportional to 818.42, 1,226.58 and 715.22 is: 1,071.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.42 : 1,226.58 = 715.22 : x
  2. Step 2: Convert to fraction form
    818.42/1,226.58 = 715.22/x
  3. Step 3: Cross multiply
    818.42x = 1,226.58 × 715.22
  4. Step 4: Simplify right side
    818.42x = 877,274.55
  5. Step 5: Solve for x
    x = 877,274.55/818.42
  6. Step 6: Final answer
    x = 1,071.91

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Why These Related Problems?

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