Home / 1,220.54-1,829.86-526.64

Finding the Fourth Proportional to 1,220.54, 1,829.86 and 526.64

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Solution

The fourth proportional to 1,220.54, 1,829.86 and 526.64 is: 789.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.54 : 1,829.86 = 526.64 : x
  2. Step 2: Convert to fraction form
    1,220.54/1,829.86 = 526.64/x
  3. Step 3: Cross multiply
    1,220.54x = 1,829.86 × 526.64
  4. Step 4: Simplify right side
    1,220.54x = 963,677.47
  5. Step 5: Solve for x
    x = 963,677.47/1,220.54
  6. Step 6: Final answer
    x = 789.55

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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.