Home / 1,159.14-1,738.67-293.45

Finding the Fourth Proportional to 1,159.14, 1,738.67 and 293.45

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Solution

The fourth proportional to 1,159.14, 1,738.67 and 293.45 is: 440.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.14 : 1,738.67 = 293.45 : x
  2. Step 2: Convert to fraction form
    1,159.14/1,738.67 = 293.45/x
  3. Step 3: Cross multiply
    1,159.14x = 1,738.67 × 293.45
  4. Step 4: Simplify right side
    1,159.14x = 510,202.55
  5. Step 5: Solve for x
    x = 510,202.55/1,159.14
  6. Step 6: Final answer
    x = 440.16

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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.