Home / 1,506.76-2,259.52-581.80

Finding the Fourth Proportional to 1,506.76, 2,259.52 and 581.80

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Solution

The fourth proportional to 1,506.76, 2,259.52 and 581.80 is: 872.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.76 : 2,259.52 = 581.80 : x
  2. Step 2: Convert to fraction form
    1,506.76/2,259.52 = 581.80/x
  3. Step 3: Cross multiply
    1,506.76x = 2,259.52 × 581.80
  4. Step 4: Simplify right side
    1,506.76x = 1,314,588.74
  5. Step 5: Solve for x
    x = 1,314,588.74/1,506.76
  6. Step 6: Final answer
    x = 872.46

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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.