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Finding the Fourth Proportional to 1,094.35, 1,640.19 and 508.55

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Solution

The fourth proportional to 1,094.35, 1,640.19 and 508.55 is: 762.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.35 : 1,640.19 = 508.55 : x
  2. Step 2: Convert to fraction form
    1,094.35/1,640.19 = 508.55/x
  3. Step 3: Cross multiply
    1,094.35x = 1,640.19 × 508.55
  4. Step 4: Simplify right side
    1,094.35x = 834,118.62
  5. Step 5: Solve for x
    x = 834,118.62/1,094.35
  6. Step 6: Final answer
    x = 762.20

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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.