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Finding the Fourth Proportional to 942.07, 1,414.26 and 904.91

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Solution

The fourth proportional to 942.07, 1,414.26 and 904.91 is: 1,358.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.07 : 1,414.26 = 904.91 : x
  2. Step 2: Convert to fraction form
    942.07/1,414.26 = 904.91/x
  3. Step 3: Cross multiply
    942.07x = 1,414.26 × 904.91
  4. Step 4: Simplify right side
    942.07x = 1,279,776.91
  5. Step 5: Solve for x
    x = 1,279,776.91/942.07
  6. Step 6: Final answer
    x = 1,358.47

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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.