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Finding the Fourth Proportional to 1,137.48, 1,705.80 and 443.58

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Solution

The fourth proportional to 1,137.48, 1,705.80 and 443.58 is: 665.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.48 : 1,705.80 = 443.58 : x
  2. Step 2: Convert to fraction form
    1,137.48/1,705.80 = 443.58/x
  3. Step 3: Cross multiply
    1,137.48x = 1,705.80 × 443.58
  4. Step 4: Simplify right side
    1,137.48x = 756,658.76
  5. Step 5: Solve for x
    x = 756,658.76/1,137.48
  6. Step 6: Final answer
    x = 665.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.