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Finding the Fourth Proportional to 813.07, 1,121.55 and 518.51

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Solution

The fourth proportional to 813.07, 1,121.55 and 518.51 is: 715.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.07 : 1,121.55 = 518.51 : x
  2. Step 2: Convert to fraction form
    813.07/1,121.55 = 518.51/x
  3. Step 3: Cross multiply
    813.07x = 1,121.55 × 518.51
  4. Step 4: Simplify right side
    813.07x = 581,532.60
  5. Step 5: Solve for x
    x = 581,532.60/813.07
  6. Step 6: Final answer
    x = 715.23

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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.