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Finding the Fourth Proportional to 818.04, 1,128.36 and 522.84

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Solution

The fourth proportional to 818.04, 1,128.36 and 522.84 is: 721.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.04 : 1,128.36 = 522.84 : x
  2. Step 2: Convert to fraction form
    818.04/1,128.36 = 522.84/x
  3. Step 3: Cross multiply
    818.04x = 1,128.36 × 522.84
  4. Step 4: Simplify right side
    818.04x = 589,951.74
  5. Step 5: Solve for x
    x = 589,951.74/818.04
  6. Step 6: Final answer
    x = 721.18

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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.