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Finding the Fourth Proportional to 1,384.80, 2,077.52 and 460.32

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Solution

The fourth proportional to 1,384.80, 2,077.52 and 460.32 is: 690.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.80 : 2,077.52 = 460.32 : x
  2. Step 2: Convert to fraction form
    1,384.80/2,077.52 = 460.32/x
  3. Step 3: Cross multiply
    1,384.80x = 2,077.52 × 460.32
  4. Step 4: Simplify right side
    1,384.80x = 956,324.01
  5. Step 5: Solve for x
    x = 956,324.01/1,384.80
  6. Step 6: Final answer
    x = 690.59

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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.