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Finding the Fourth Proportional to 1,384.60, 2,077.20 and 460.43

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Solution

The fourth proportional to 1,384.60, 2,077.20 and 460.43 is: 690.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.60 : 2,077.20 = 460.43 : x
  2. Step 2: Convert to fraction form
    1,384.60/2,077.20 = 460.43/x
  3. Step 3: Cross multiply
    1,384.60x = 2,077.20 × 460.43
  4. Step 4: Simplify right side
    1,384.60x = 956,405.20
  5. Step 5: Solve for x
    x = 956,405.20/1,384.60
  6. Step 6: Final answer
    x = 690.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.