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Finding the Fourth Proportional to 891.39, 1,337.00 and 275.10

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Solution

The fourth proportional to 891.39, 1,337.00 and 275.10 is: 412.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.39 : 1,337.00 = 275.10 : x
  2. Step 2: Convert to fraction form
    891.39/1,337.00 = 275.10/x
  3. Step 3: Cross multiply
    891.39x = 1,337.00 × 275.10
  4. Step 4: Simplify right side
    891.39x = 367,807.32
  5. Step 5: Solve for x
    x = 367,807.32/891.39
  6. Step 6: Final answer
    x = 412.62

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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.