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Finding the Fourth Proportional to 1,596.69, 2,203.43 and 898.06

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Solution

The fourth proportional to 1,596.69, 2,203.43 and 898.06 is: 1,239.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.69 : 2,203.43 = 898.06 : x
  2. Step 2: Convert to fraction form
    1,596.69/2,203.43 = 898.06/x
  3. Step 3: Cross multiply
    1,596.69x = 2,203.43 × 898.06
  4. Step 4: Simplify right side
    1,596.69x = 1,978,812.35
  5. Step 5: Solve for x
    x = 1,978,812.35/1,596.69
  6. Step 6: Final answer
    x = 1,239.32

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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.