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Finding the Fourth Proportional to 1,159.04, 1,738.56 and 337.30

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Solution

The fourth proportional to 1,159.04, 1,738.56 and 337.30 is: 505.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.04 : 1,738.56 = 337.30 : x
  2. Step 2: Convert to fraction form
    1,159.04/1,738.56 = 337.30/x
  3. Step 3: Cross multiply
    1,159.04x = 1,738.56 × 337.30
  4. Step 4: Simplify right side
    1,159.04x = 586,413.21
  5. Step 5: Solve for x
    x = 586,413.21/1,159.04
  6. Step 6: Final answer
    x = 505.95

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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.