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Finding the Fourth Proportional to 1,596.18, 2,393.46 and 729.75

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Solution

The fourth proportional to 1,596.18, 2,393.46 and 729.75 is: 1,094.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.18 : 2,393.46 = 729.75 : x
  2. Step 2: Convert to fraction form
    1,596.18/2,393.46 = 729.75/x
  3. Step 3: Cross multiply
    1,596.18x = 2,393.46 × 729.75
  4. Step 4: Simplify right side
    1,596.18x = 1,746,627.44
  5. Step 5: Solve for x
    x = 1,746,627.44/1,596.18
  6. Step 6: Final answer
    x = 1,094.25

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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.