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Finding the Fourth Proportional to 1,193.28, 1,646.40 and 897.84

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Solution

The fourth proportional to 1,193.28, 1,646.40 and 897.84 is: 1,238.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.28 : 1,646.40 = 897.84 : x
  2. Step 2: Convert to fraction form
    1,193.28/1,646.40 = 897.84/x
  3. Step 3: Cross multiply
    1,193.28x = 1,646.40 × 897.84
  4. Step 4: Simplify right side
    1,193.28x = 1,478,203.78
  5. Step 5: Solve for x
    x = 1,478,203.78/1,193.28
  6. Step 6: Final answer
    x = 1,238.77

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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.