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Finding the Fourth Proportional to 1,159.85, 1,739.94 and 338.01

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Solution

The fourth proportional to 1,159.85, 1,739.94 and 338.01 is: 507.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.85 : 1,739.94 = 338.01 : x
  2. Step 2: Convert to fraction form
    1,159.85/1,739.94 = 338.01/x
  3. Step 3: Cross multiply
    1,159.85x = 1,739.94 × 338.01
  4. Step 4: Simplify right side
    1,159.85x = 588,122.31
  5. Step 5: Solve for x
    x = 588,122.31/1,159.85
  6. Step 6: Final answer
    x = 507.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.