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Finding the Fourth Proportional to 1,344.59, 1,855.20 and 784.74

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Solution

The fourth proportional to 1,344.59, 1,855.20 and 784.74 is: 1,082.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.59 : 1,855.20 = 784.74 : x
  2. Step 2: Convert to fraction form
    1,344.59/1,855.20 = 784.74/x
  3. Step 3: Cross multiply
    1,344.59x = 1,855.20 × 784.74
  4. Step 4: Simplify right side
    1,344.59x = 1,455,840.37
  5. Step 5: Solve for x
    x = 1,455,840.37/1,344.59
  6. Step 6: Final answer
    x = 1,082.74

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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.