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Finding the Fourth Proportional to 940.02, 1,411.25 and 594.05

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Solution

The fourth proportional to 940.02, 1,411.25 and 594.05 is: 891.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.02 : 1,411.25 = 594.05 : x
  2. Step 2: Convert to fraction form
    940.02/1,411.25 = 594.05/x
  3. Step 3: Cross multiply
    940.02x = 1,411.25 × 594.05
  4. Step 4: Simplify right side
    940.02x = 838,353.06
  5. Step 5: Solve for x
    x = 838,353.06/940.02
  6. Step 6: Final answer
    x = 891.85

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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.