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Finding the Fourth Proportional to 927.64, 1,390.80 and 465.09

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Solution

The fourth proportional to 927.64, 1,390.80 and 465.09 is: 697.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.64 : 1,390.80 = 465.09 : x
  2. Step 2: Convert to fraction form
    927.64/1,390.80 = 465.09/x
  3. Step 3: Cross multiply
    927.64x = 1,390.80 × 465.09
  4. Step 4: Simplify right side
    927.64x = 646,843.70
  5. Step 5: Solve for x
    x = 646,843.70/927.64
  6. Step 6: Final answer
    x = 697.30

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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.