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Finding the Fourth Proportional to 1,233.91, 1,851.50 and 584.47

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Solution

The fourth proportional to 1,233.91, 1,851.50 and 584.47 is: 877.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.91 : 1,851.50 = 584.47 : x
  2. Step 2: Convert to fraction form
    1,233.91/1,851.50 = 584.47/x
  3. Step 3: Cross multiply
    1,233.91x = 1,851.50 × 584.47
  4. Step 4: Simplify right side
    1,233.91x = 1,082,146.21
  5. Step 5: Solve for x
    x = 1,082,146.21/1,233.91
  6. Step 6: Final answer
    x = 877.01

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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.