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Finding the Fourth Proportional to 950.30, 1,423.15 and 730.65

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Solution

The fourth proportional to 950.30, 1,423.15 and 730.65 is: 1,094.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.30 : 1,423.15 = 730.65 : x
  2. Step 2: Convert to fraction form
    950.30/1,423.15 = 730.65/x
  3. Step 3: Cross multiply
    950.30x = 1,423.15 × 730.65
  4. Step 4: Simplify right side
    950.30x = 1,039,820.89
  5. Step 5: Solve for x
    x = 1,039,820.89/950.30
  6. Step 6: Final answer
    x = 1,094.21

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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.