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Finding the Fourth Proportional to 599.75, 894.24 and 588.81

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Solution

The fourth proportional to 599.75, 894.24 and 588.81 is: 877.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.75 : 894.24 = 588.81 : x
  2. Step 2: Convert to fraction form
    599.75/894.24 = 588.81/x
  3. Step 3: Cross multiply
    599.75x = 894.24 × 588.81
  4. Step 4: Simplify right side
    599.75x = 526,537.45
  5. Step 5: Solve for x
    x = 526,537.45/599.75
  6. Step 6: Final answer
    x = 877.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.