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Finding the Fourth Proportional to 1,233.81, 1,851.93 and 585

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Solution

The fourth proportional to 1,233.81, 1,851.93 and 585 is: 878.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.81 : 1,851.93 = 585 : x
  2. Step 2: Convert to fraction form
    1,233.81/1,851.93 = 585/x
  3. Step 3: Cross multiply
    1,233.81x = 1,851.93 × 585
  4. Step 4: Simplify right side
    1,233.81x = 1,083,379.05
  5. Step 5: Solve for x
    x = 1,083,379.05/1,233.81
  6. Step 6: Final answer
    x = 878.08

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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.