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Finding the Fourth Proportional to 954, 1,431.36 and 874.08

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Solution

The fourth proportional to 954, 1,431.36 and 874.08 is: 1,311.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    954 : 1,431.36 = 874.08 : x
  2. Step 2: Convert to fraction form
    954/1,431.36 = 874.08/x
  3. Step 3: Cross multiply
    954x = 1,431.36 × 874.08
  4. Step 4: Simplify right side
    954x = 1,251,123.15
  5. Step 5: Solve for x
    x = 1,251,123.15/954
  6. Step 6: Final answer
    x = 1,311.45

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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.