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Finding the Fourth Proportional to 921.40, 1,270.62 and 816.52

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Solution

The fourth proportional to 921.40, 1,270.62 and 816.52 is: 1,125.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.40 : 1,270.62 = 816.52 : x
  2. Step 2: Convert to fraction form
    921.40/1,270.62 = 816.52/x
  3. Step 3: Cross multiply
    921.40x = 1,270.62 × 816.52
  4. Step 4: Simplify right side
    921.40x = 1,037,486.64
  5. Step 5: Solve for x
    x = 1,037,486.64/921.40
  6. Step 6: Final answer
    x = 1,125.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.