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Finding the Fourth Proportional to 1,222.40, 1,829.76 and 912.48

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Solution

The fourth proportional to 1,222.40, 1,829.76 and 912.48 is: 1,365.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.40 : 1,829.76 = 912.48 : x
  2. Step 2: Convert to fraction form
    1,222.40/1,829.76 = 912.48/x
  3. Step 3: Cross multiply
    1,222.40x = 1,829.76 × 912.48
  4. Step 4: Simplify right side
    1,222.40x = 1,669,619.40
  5. Step 5: Solve for x
    x = 1,669,619.40/1,222.40
  6. Step 6: Final answer
    x = 1,365.85

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1.5x scale

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.