Home / 1,506.58-2,259.96-582.13

Finding the Fourth Proportional to 1,506.58, 2,259.96 and 582.13

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Solution

The fourth proportional to 1,506.58, 2,259.96 and 582.13 is: 873.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.58 : 2,259.96 = 582.13 : x
  2. Step 2: Convert to fraction form
    1,506.58/2,259.96 = 582.13/x
  3. Step 3: Cross multiply
    1,506.58x = 2,259.96 × 582.13
  4. Step 4: Simplify right side
    1,506.58x = 1,315,591.16
  5. Step 5: Solve for x
    x = 1,315,591.16/1,506.58
  6. Step 6: Final answer
    x = 873.23

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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.