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Finding the Fourth Proportional to 730.55, 1,095.84 and 407.98

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Solution

The fourth proportional to 730.55, 1,095.84 and 407.98 is: 611.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.55 : 1,095.84 = 407.98 : x
  2. Step 2: Convert to fraction form
    730.55/1,095.84 = 407.98/x
  3. Step 3: Cross multiply
    730.55x = 1,095.84 × 407.98
  4. Step 4: Simplify right side
    730.55x = 447,080.80
  5. Step 5: Solve for x
    x = 447,080.80/730.55
  6. Step 6: Final answer
    x = 611.98

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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.