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Finding the Fourth Proportional to 1,412.33, 1,948.03 and 971.29

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Solution

The fourth proportional to 1,412.33, 1,948.03 and 971.29 is: 1,339.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.33 : 1,948.03 = 971.29 : x
  2. Step 2: Convert to fraction form
    1,412.33/1,948.03 = 971.29/x
  3. Step 3: Cross multiply
    1,412.33x = 1,948.03 × 971.29
  4. Step 4: Simplify right side
    1,412.33x = 1,892,092.32
  5. Step 5: Solve for x
    x = 1,892,092.32/1,412.33
  6. Step 6: Final answer
    x = 1,339.70

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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.