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Finding the Fourth Proportional to 818.93, 1,228.48 and 472.65

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Solution

The fourth proportional to 818.93, 1,228.48 and 472.65 is: 709.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.93 : 1,228.48 = 472.65 : x
  2. Step 2: Convert to fraction form
    818.93/1,228.48 = 472.65/x
  3. Step 3: Cross multiply
    818.93x = 1,228.48 × 472.65
  4. Step 4: Simplify right side
    818.93x = 580,638.71
  5. Step 5: Solve for x
    x = 580,638.71/818.93
  6. Step 6: Final answer
    x = 709.03

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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.