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Finding the Fourth Proportional to 1,285.65, 1,929.51 and 730.71

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Solution

The fourth proportional to 1,285.65, 1,929.51 and 730.71 is: 1,096.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.65 : 1,929.51 = 730.71 : x
  2. Step 2: Convert to fraction form
    1,285.65/1,929.51 = 730.71/x
  3. Step 3: Cross multiply
    1,285.65x = 1,929.51 × 730.71
  4. Step 4: Simplify right side
    1,285.65x = 1,409,912.25
  5. Step 5: Solve for x
    x = 1,409,912.25/1,285.65
  6. Step 6: Final answer
    x = 1,096.65

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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.