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Finding the Fourth Proportional to 1,093.98, 1,640.10 and 509.34

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Solution

The fourth proportional to 1,093.98, 1,640.10 and 509.34 is: 763.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.98 : 1,640.10 = 509.34 : x
  2. Step 2: Convert to fraction form
    1,093.98/1,640.10 = 509.34/x
  3. Step 3: Cross multiply
    1,093.98x = 1,640.10 × 509.34
  4. Step 4: Simplify right side
    1,093.98x = 835,368.53
  5. Step 5: Solve for x
    x = 835,368.53/1,093.98
  6. Step 6: Final answer
    x = 763.60

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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.