Home / 1,220.37-1,829.25-527.34

Finding the Fourth Proportional to 1,220.37, 1,829.25 and 527.34

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Solution

The fourth proportional to 1,220.37, 1,829.25 and 527.34 is: 790.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.37 : 1,829.25 = 527.34 : x
  2. Step 2: Convert to fraction form
    1,220.37/1,829.25 = 527.34/x
  3. Step 3: Cross multiply
    1,220.37x = 1,829.25 × 527.34
  4. Step 4: Simplify right side
    1,220.37x = 964,636.70
  5. Step 5: Solve for x
    x = 964,636.70/1,220.37
  6. Step 6: Final answer
    x = 790.45

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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.