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Finding the Fourth Proportional to 1,314.63, 1,971.51 and 584.19

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Solution

The fourth proportional to 1,314.63, 1,971.51 and 584.19 is: 876.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.63 : 1,971.51 = 584.19 : x
  2. Step 2: Convert to fraction form
    1,314.63/1,971.51 = 584.19/x
  3. Step 3: Cross multiply
    1,314.63x = 1,971.51 × 584.19
  4. Step 4: Simplify right side
    1,314.63x = 1,151,736.43
  5. Step 5: Solve for x
    x = 1,151,736.43/1,314.63
  6. Step 6: Final answer
    x = 876.09

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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.