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Finding the Fourth Proportional to 1,172.36, 1,758.85 and 442.15

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Solution

The fourth proportional to 1,172.36, 1,758.85 and 442.15 is: 663.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.36 : 1,758.85 = 442.15 : x
  2. Step 2: Convert to fraction form
    1,172.36/1,758.85 = 442.15/x
  3. Step 3: Cross multiply
    1,172.36x = 1,758.85 × 442.15
  4. Step 4: Simplify right side
    1,172.36x = 777,675.53
  5. Step 5: Solve for x
    x = 777,675.53/1,172.36
  6. Step 6: Final answer
    x = 663.34

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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.