Home / 1,506.92-2,258.64-582.06

Finding the Fourth Proportional to 1,506.92, 2,258.64 and 582.06

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Solution

The fourth proportional to 1,506.92, 2,258.64 and 582.06 is: 872.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.92 : 2,258.64 = 582.06 : x
  2. Step 2: Convert to fraction form
    1,506.92/2,258.64 = 582.06/x
  3. Step 3: Cross multiply
    1,506.92x = 2,258.64 × 582.06
  4. Step 4: Simplify right side
    1,506.92x = 1,314,664.00
  5. Step 5: Solve for x
    x = 1,314,664.00/1,506.92
  6. Step 6: Final answer
    x = 872.42

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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.