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Finding the Fourth Proportional to 1,079.47, 1,619.30 and 463.06

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Solution

The fourth proportional to 1,079.47, 1,619.30 and 463.06 is: 694.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.47 : 1,619.30 = 463.06 : x
  2. Step 2: Convert to fraction form
    1,079.47/1,619.30 = 463.06/x
  3. Step 3: Cross multiply
    1,079.47x = 1,619.30 × 463.06
  4. Step 4: Simplify right side
    1,079.47x = 749,833.06
  5. Step 5: Solve for x
    x = 749,833.06/1,079.47
  6. Step 6: Final answer
    x = 694.63

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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.