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Finding the Fourth Proportional to 940.85, 1,411.46 and 291.59

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Solution

The fourth proportional to 940.85, 1,411.46 and 291.59 is: 437.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.85 : 1,411.46 = 291.59 : x
  2. Step 2: Convert to fraction form
    940.85/1,411.46 = 291.59/x
  3. Step 3: Cross multiply
    940.85x = 1,411.46 × 291.59
  4. Step 4: Simplify right side
    940.85x = 411,566.16
  5. Step 5: Solve for x
    x = 411,566.16/940.85
  6. Step 6: Final answer
    x = 437.44

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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.