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Finding the Fourth Proportional to 1,405.18, 1,939.14 and 784.18

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Solution

The fourth proportional to 1,405.18, 1,939.14 and 784.18 is: 1,082.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.18 : 1,939.14 = 784.18 : x
  2. Step 2: Convert to fraction form
    1,405.18/1,939.14 = 784.18/x
  3. Step 3: Cross multiply
    1,405.18x = 1,939.14 × 784.18
  4. Step 4: Simplify right side
    1,405.18x = 1,520,621.19
  5. Step 5: Solve for x
    x = 1,520,621.19/1,405.18
  6. Step 6: Final answer
    x = 1,082.16

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Why These Related Problems?

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