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Finding the Fourth Proportional to 1,159.33, 1,738.98 and 293.65

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Solution

The fourth proportional to 1,159.33, 1,738.98 and 293.65 is: 440.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.33 : 1,738.98 = 293.65 : x
  2. Step 2: Convert to fraction form
    1,159.33/1,738.98 = 293.65/x
  3. Step 3: Cross multiply
    1,159.33x = 1,738.98 × 293.65
  4. Step 4: Simplify right side
    1,159.33x = 510,651.48
  5. Step 5: Solve for x
    x = 510,651.48/1,159.33
  6. Step 6: Final answer
    x = 440.47

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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.