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Finding the Fourth Proportional to 1,384.51, 2,076.99 and 459.91

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Solution

The fourth proportional to 1,384.51, 2,076.99 and 459.91 is: 689.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.51 : 2,076.99 = 459.91 : x
  2. Step 2: Convert to fraction form
    1,384.51/2,076.99 = 459.91/x
  3. Step 3: Cross multiply
    1,384.51x = 2,076.99 × 459.91
  4. Step 4: Simplify right side
    1,384.51x = 955,228.47
  5. Step 5: Solve for x
    x = 955,228.47/1,384.51
  6. Step 6: Final answer
    x = 689.94

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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.