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Finding the Fourth Proportional to 841.96, 1,262.22 and 466.84

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Solution

The fourth proportional to 841.96, 1,262.22 and 466.84 is: 699.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.96 : 1,262.22 = 466.84 : x
  2. Step 2: Convert to fraction form
    841.96/1,262.22 = 466.84/x
  3. Step 3: Cross multiply
    841.96x = 1,262.22 × 466.84
  4. Step 4: Simplify right side
    841.96x = 589,254.78
  5. Step 5: Solve for x
    x = 589,254.78/841.96
  6. Step 6: Final answer
    x = 699.86

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1.5x scale

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.