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Finding the Fourth Proportional to 1,192.29, 1,646.46 and 897.06

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Solution

The fourth proportional to 1,192.29, 1,646.46 and 897.06 is: 1,238.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.29 : 1,646.46 = 897.06 : x
  2. Step 2: Convert to fraction form
    1,192.29/1,646.46 = 897.06/x
  3. Step 3: Cross multiply
    1,192.29x = 1,646.46 × 897.06
  4. Step 4: Simplify right side
    1,192.29x = 1,476,973.41
  5. Step 5: Solve for x
    x = 1,476,973.41/1,192.29
  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.