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Finding the Fourth Proportional to 897.97, 1,345.01 and 550.26

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Solution

The fourth proportional to 897.97, 1,345.01 and 550.26 is: 824.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.97 : 1,345.01 = 550.26 : x
  2. Step 2: Convert to fraction form
    897.97/1,345.01 = 550.26/x
  3. Step 3: Cross multiply
    897.97x = 1,345.01 × 550.26
  4. Step 4: Simplify right side
    897.97x = 740,096.78
  5. Step 5: Solve for x
    x = 740,096.78/897.97
  6. Step 6: Final answer
    x = 824.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.