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Finding the Fourth Proportional to 1,418.13, 1,956.96 and 788.63

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Solution

The fourth proportional to 1,418.13, 1,956.96 and 788.63 is: 1,088.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.13 : 1,956.96 = 788.63 : x
  2. Step 2: Convert to fraction form
    1,418.13/1,956.96 = 788.63/x
  3. Step 3: Cross multiply
    1,418.13x = 1,956.96 × 788.63
  4. Step 4: Simplify right side
    1,418.13x = 1,543,307.58
  5. Step 5: Solve for x
    x = 1,543,307.58/1,418.13
  6. Step 6: Final answer
    x = 1,088.27

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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.