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Finding the Fourth Proportional to 1,159.04, 1,738.67 and 379.01

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Solution

The fourth proportional to 1,159.04, 1,738.67 and 379.01 is: 568.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.04 : 1,738.67 = 379.01 : x
  2. Step 2: Convert to fraction form
    1,159.04/1,738.67 = 379.01/x
  3. Step 3: Cross multiply
    1,159.04x = 1,738.67 × 379.01
  4. Step 4: Simplify right side
    1,159.04x = 658,973.32
  5. Step 5: Solve for x
    x = 658,973.32/1,159.04
  6. Step 6: Final answer
    x = 568.55

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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.