Home / 1,364.42-2,046.64-584.36

Finding the Fourth Proportional to 1,364.42, 2,046.64 and 584.36

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Solution

The fourth proportional to 1,364.42, 2,046.64 and 584.36 is: 876.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.42 : 2,046.64 = 584.36 : x
  2. Step 2: Convert to fraction form
    1,364.42/2,046.64 = 584.36/x
  3. Step 3: Cross multiply
    1,364.42x = 2,046.64 × 584.36
  4. Step 4: Simplify right side
    1,364.42x = 1,195,972.76
  5. Step 5: Solve for x
    x = 1,195,972.76/1,364.42
  6. Step 6: Final answer
    x = 876.54

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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.