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Finding the Fourth Proportional to 1,094.19, 1,641.48 and 509.79

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Solution

The fourth proportional to 1,094.19, 1,641.48 and 509.79 is: 764.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.19 : 1,641.48 = 509.79 : x
  2. Step 2: Convert to fraction form
    1,094.19/1,641.48 = 509.79/x
  3. Step 3: Cross multiply
    1,094.19x = 1,641.48 × 509.79
  4. Step 4: Simplify right side
    1,094.19x = 836,810.09
  5. Step 5: Solve for x
    x = 836,810.09/1,094.19
  6. Step 6: Final answer
    x = 764.78

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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.