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Finding the Fourth Proportional to 1,233.41, 1,702.09 and 709.45

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Solution

The fourth proportional to 1,233.41, 1,702.09 and 709.45 is: 979.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.41 : 1,702.09 = 709.45 : x
  2. Step 2: Convert to fraction form
    1,233.41/1,702.09 = 709.45/x
  3. Step 3: Cross multiply
    1,233.41x = 1,702.09 × 709.45
  4. Step 4: Simplify right side
    1,233.41x = 1,207,547.75
  5. Step 5: Solve for x
    x = 1,207,547.75/1,233.41
  6. Step 6: Final answer
    x = 979.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.