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Finding the Fourth Proportional to 1,094.34, 1,640.66 and 546.24

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Solution

The fourth proportional to 1,094.34, 1,640.66 and 546.24 is: 818.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.34 : 1,640.66 = 546.24 : x
  2. Step 2: Convert to fraction form
    1,094.34/1,640.66 = 546.24/x
  3. Step 3: Cross multiply
    1,094.34x = 1,640.66 × 546.24
  4. Step 4: Simplify right side
    1,094.34x = 896,194.12
  5. Step 5: Solve for x
    x = 896,194.12/1,094.34
  6. Step 6: Final answer
    x = 818.94

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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.