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Finding the Fourth Proportional to 935.94, 1,401.69 and 472.26

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Solution

The fourth proportional to 935.94, 1,401.69 and 472.26 is: 707.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.94 : 1,401.69 = 472.26 : x
  2. Step 2: Convert to fraction form
    935.94/1,401.69 = 472.26/x
  3. Step 3: Cross multiply
    935.94x = 1,401.69 × 472.26
  4. Step 4: Simplify right side
    935.94x = 661,962.12
  5. Step 5: Solve for x
    x = 661,962.12/935.94
  6. Step 6: Final answer
    x = 707.27

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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.