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Finding the Fourth Proportional to 1,384.76, 2,077.62 and 460.60

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Solution

The fourth proportional to 1,384.76, 2,077.62 and 460.60 is: 691.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.76 : 2,077.62 = 460.60 : x
  2. Step 2: Convert to fraction form
    1,384.76/2,077.62 = 460.60/x
  3. Step 3: Cross multiply
    1,384.76x = 2,077.62 × 460.60
  4. Step 4: Simplify right side
    1,384.76x = 956,951.77
  5. Step 5: Solve for x
    x = 956,951.77/1,384.76
  6. Step 6: Final answer
    x = 691.06

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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.