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Finding the Fourth Proportional to 1,496.40, 2,065.06 and 866.99

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Solution

The fourth proportional to 1,496.40, 2,065.06 and 866.99 is: 1,196.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.40 : 2,065.06 = 866.99 : x
  2. Step 2: Convert to fraction form
    1,496.40/2,065.06 = 866.99/x
  3. Step 3: Cross multiply
    1,496.40x = 2,065.06 × 866.99
  4. Step 4: Simplify right side
    1,496.40x = 1,790,386.37
  5. Step 5: Solve for x
    x = 1,790,386.37/1,496.40
  6. Step 6: Final answer
    x = 1,196.46

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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.