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Finding the Fourth Proportional to 1,193.43, 1,783.23 and 914.25

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Solution

The fourth proportional to 1,193.43, 1,783.23 and 914.25 is: 1,366.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.43 : 1,783.23 = 914.25 : x
  2. Step 2: Convert to fraction form
    1,193.43/1,783.23 = 914.25/x
  3. Step 3: Cross multiply
    1,193.43x = 1,783.23 × 914.25
  4. Step 4: Simplify right side
    1,193.43x = 1,630,318.03
  5. Step 5: Solve for x
    x = 1,630,318.03/1,193.43
  6. Step 6: Final answer
    x = 1,366.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.