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Finding the Fourth Proportional to 1,160.62, 1,740.84 and 380.62

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Solution

The fourth proportional to 1,160.62, 1,740.84 and 380.62 is: 570.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.62 : 1,740.84 = 380.62 : x
  2. Step 2: Convert to fraction form
    1,160.62/1,740.84 = 380.62/x
  3. Step 3: Cross multiply
    1,160.62x = 1,740.84 × 380.62
  4. Step 4: Simplify right side
    1,160.62x = 662,598.52
  5. Step 5: Solve for x
    x = 662,598.52/1,160.62
  6. Step 6: Final answer
    x = 570.90

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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.