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Finding the Fourth Proportional to 1,160.48, 1,739.56 and 467.02

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Solution

The fourth proportional to 1,160.48, 1,739.56 and 467.02 is: 700.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.48 : 1,739.56 = 467.02 : x
  2. Step 2: Convert to fraction form
    1,160.48/1,739.56 = 467.02/x
  3. Step 3: Cross multiply
    1,160.48x = 1,739.56 × 467.02
  4. Step 4: Simplify right side
    1,160.48x = 812,406.98
  5. Step 5: Solve for x
    x = 812,406.98/1,160.48
  6. Step 6: Final answer
    x = 700.06

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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.