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Finding the Fourth Proportional to 1,170.34, 1,755.49 and 348.62

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Solution

The fourth proportional to 1,170.34, 1,755.49 and 348.62 is: 522.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.34 : 1,755.49 = 348.62 : x
  2. Step 2: Convert to fraction form
    1,170.34/1,755.49 = 348.62/x
  3. Step 3: Cross multiply
    1,170.34x = 1,755.49 × 348.62
  4. Step 4: Simplify right side
    1,170.34x = 611,989.93
  5. Step 5: Solve for x
    x = 611,989.93/1,170.34
  6. Step 6: Final answer
    x = 522.92

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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.