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Finding the Fourth Proportional to 1,297.23, 1,790.04 and 766.08

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Solution

The fourth proportional to 1,297.23, 1,790.04 and 766.08 is: 1,057.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.23 : 1,790.04 = 766.08 : x
  2. Step 2: Convert to fraction form
    1,297.23/1,790.04 = 766.08/x
  3. Step 3: Cross multiply
    1,297.23x = 1,790.04 × 766.08
  4. Step 4: Simplify right side
    1,297.23x = 1,371,313.84
  5. Step 5: Solve for x
    x = 1,371,313.84/1,297.23
  6. Step 6: Final answer
    x = 1,057.11

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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.