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Finding the Fourth Proportional to 818.84, 1,130 and 464.80

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Solution

The fourth proportional to 818.84, 1,130 and 464.80 is: 641.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.84 : 1,130 = 464.80 : x
  2. Step 2: Convert to fraction form
    818.84/1,130 = 464.80/x
  3. Step 3: Cross multiply
    818.84x = 1,130 × 464.80
  4. Step 4: Simplify right side
    818.84x = 525,224
  5. Step 5: Solve for x
    x = 525,224/818.84
  6. Step 6: Final answer
    x = 641.42

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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.