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Finding the Fourth Proportional to 1,160.01, 1,739.97 and 429.26

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Solution

The fourth proportional to 1,160.01, 1,739.97 and 429.26 is: 643.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.01 : 1,739.97 = 429.26 : x
  2. Step 2: Convert to fraction form
    1,160.01/1,739.97 = 429.26/x
  3. Step 3: Cross multiply
    1,160.01x = 1,739.97 × 429.26
  4. Step 4: Simplify right side
    1,160.01x = 746,890.82
  5. Step 5: Solve for x
    x = 746,890.82/1,160.01
  6. Step 6: Final answer
    x = 643.87

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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.