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Finding the Fourth Proportional to 1,206.40, 1,663.74 and 786.32

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Solution

The fourth proportional to 1,206.40, 1,663.74 and 786.32 is: 1,084.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.40 : 1,663.74 = 786.32 : x
  2. Step 2: Convert to fraction form
    1,206.40/1,663.74 = 786.32/x
  3. Step 3: Cross multiply
    1,206.40x = 1,663.74 × 786.32
  4. Step 4: Simplify right side
    1,206.40x = 1,308,232.04
  5. Step 5: Solve for x
    x = 1,308,232.04/1,206.40
  6. Step 6: Final answer
    x = 1,084.41

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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.