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Finding the Fourth Proportional to 818.42, 1,226.01 and 530.06

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Solution

The fourth proportional to 818.42, 1,226.01 and 530.06 is: 794.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.42 : 1,226.01 = 530.06 : x
  2. Step 2: Convert to fraction form
    818.42/1,226.01 = 530.06/x
  3. Step 3: Cross multiply
    818.42x = 1,226.01 × 530.06
  4. Step 4: Simplify right side
    818.42x = 649,858.86
  5. Step 5: Solve for x
    x = 649,858.86/818.42
  6. Step 6: Final answer
    x = 794.04

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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.