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Finding the Fourth Proportional to 873.05, 1,205.01 and 593.33

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Solution

The fourth proportional to 873.05, 1,205.01 and 593.33 is: 818.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.05 : 1,205.01 = 593.33 : x
  2. Step 2: Convert to fraction form
    873.05/1,205.01 = 593.33/x
  3. Step 3: Cross multiply
    873.05x = 1,205.01 × 593.33
  4. Step 4: Simplify right side
    873.05x = 714,962.56
  5. Step 5: Solve for x
    x = 714,962.56/873.05
  6. Step 6: Final answer
    x = 818.93

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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.