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Finding the Fourth Proportional to 1,405.56, 1,939.68 and 784.56

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Solution

The fourth proportional to 1,405.56, 1,939.68 and 784.56 is: 1,082.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.56 : 1,939.68 = 784.56 : x
  2. Step 2: Convert to fraction form
    1,405.56/1,939.68 = 784.56/x
  3. Step 3: Cross multiply
    1,405.56x = 1,939.68 × 784.56
  4. Step 4: Simplify right side
    1,405.56x = 1,521,795.34
  5. Step 5: Solve for x
    x = 1,521,795.34/1,405.56
  6. Step 6: Final answer
    x = 1,082.70

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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.