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Finding the Fourth Proportional to 940.26, 1,407.96 and 522.84

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Solution

The fourth proportional to 940.26, 1,407.96 and 522.84 is: 782.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.26 : 1,407.96 = 522.84 : x
  2. Step 2: Convert to fraction form
    940.26/1,407.96 = 522.84/x
  3. Step 3: Cross multiply
    940.26x = 1,407.96 × 522.84
  4. Step 4: Simplify right side
    940.26x = 736,137.81
  5. Step 5: Solve for x
    x = 736,137.81/940.26
  6. Step 6: Final answer
    x = 782.91

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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.