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Finding the Fourth Proportional to 1,509.89, 2,264.76 and 729.65

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Solution

The fourth proportional to 1,509.89, 2,264.76 and 729.65 is: 1,094.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.89 : 2,264.76 = 729.65 : x
  2. Step 2: Convert to fraction form
    1,509.89/2,264.76 = 729.65/x
  3. Step 3: Cross multiply
    1,509.89x = 2,264.76 × 729.65
  4. Step 4: Simplify right side
    1,509.89x = 1,652,470.81
  5. Step 5: Solve for x
    x = 1,652,470.81/1,509.89
  6. Step 6: Final answer
    x = 1,094.43

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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.