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Finding the Fourth Proportional to 1,233.06, 1,701.64 and 709.10

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Solution

The fourth proportional to 1,233.06, 1,701.64 and 709.10 is: 978.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.06 : 1,701.64 = 709.10 : x
  2. Step 2: Convert to fraction form
    1,233.06/1,701.64 = 709.10/x
  3. Step 3: Cross multiply
    1,233.06x = 1,701.64 × 709.10
  4. Step 4: Simplify right side
    1,233.06x = 1,206,625.12
  5. Step 5: Solve for x
    x = 1,206,625.12/1,233.06
  6. Step 6: Final answer
    x = 978.56

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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.