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Finding the Fourth Proportional to 1,384.87, 2,077.12 and 460.44

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Solution

The fourth proportional to 1,384.87, 2,077.12 and 460.44 is: 690.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.87 : 2,077.12 = 460.44 : x
  2. Step 2: Convert to fraction form
    1,384.87/2,077.12 = 460.44/x
  3. Step 3: Cross multiply
    1,384.87x = 2,077.12 × 460.44
  4. Step 4: Simplify right side
    1,384.87x = 956,389.13
  5. Step 5: Solve for x
    x = 956,389.13/1,384.87
  6. Step 6: Final answer
    x = 690.60

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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.