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Finding the Fourth Proportional to 1,159.09, 1,738.74 and 337.45

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Solution

The fourth proportional to 1,159.09, 1,738.74 and 337.45 is: 506.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.09 : 1,738.74 = 337.45 : x
  2. Step 2: Convert to fraction form
    1,159.09/1,738.74 = 337.45/x
  3. Step 3: Cross multiply
    1,159.09x = 1,738.74 × 337.45
  4. Step 4: Simplify right side
    1,159.09x = 586,737.81
  5. Step 5: Solve for x
    x = 586,737.81/1,159.09
  6. Step 6: Final answer
    x = 506.21

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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.