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Finding the Fourth Proportional to 1,594.84, 2,200.98 and 896.32

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Solution

The fourth proportional to 1,594.84, 2,200.98 and 896.32 is: 1,236.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.84 : 2,200.98 = 896.32 : x
  2. Step 2: Convert to fraction form
    1,594.84/2,200.98 = 896.32/x
  3. Step 3: Cross multiply
    1,594.84x = 2,200.98 × 896.32
  4. Step 4: Simplify right side
    1,594.84x = 1,972,782.39
  5. Step 5: Solve for x
    x = 1,972,782.39/1,594.84
  6. Step 6: Final answer
    x = 1,236.98

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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.