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Finding the Fourth Proportional to 897.01, 1,344.80 and 550.28

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Solution

The fourth proportional to 897.01, 1,344.80 and 550.28 is: 824.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.01 : 1,344.80 = 550.28 : x
  2. Step 2: Convert to fraction form
    897.01/1,344.80 = 550.28/x
  3. Step 3: Cross multiply
    897.01x = 1,344.80 × 550.28
  4. Step 4: Simplify right side
    897.01x = 740,021.28
  5. Step 5: Solve for x
    x = 740,021.28/897.01
  6. Step 6: Final answer
    x = 824.99

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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.