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Finding the Fourth Proportional to 1,133.90, 1,563.80 and 912.78

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Solution

The fourth proportional to 1,133.90, 1,563.80 and 912.78 is: 1,258.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.90 : 1,563.80 = 912.78 : x
  2. Step 2: Convert to fraction form
    1,133.90/1,563.80 = 912.78/x
  3. Step 3: Cross multiply
    1,133.90x = 1,563.80 × 912.78
  4. Step 4: Simplify right side
    1,133.90x = 1,427,405.36
  5. Step 5: Solve for x
    x = 1,427,405.36/1,133.90
  6. Step 6: Final answer
    x = 1,258.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.