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Finding the Fourth Proportional to 1,160.40, 1,739.68 and 575.00

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Solution

The fourth proportional to 1,160.40, 1,739.68 and 575.00 is: 862.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.40 : 1,739.68 = 575.00 : x
  2. Step 2: Convert to fraction form
    1,160.40/1,739.68 = 575.00/x
  3. Step 3: Cross multiply
    1,160.40x = 1,739.68 × 575.00
  4. Step 4: Simplify right side
    1,160.40x = 1,000,308.02
  5. Step 5: Solve for x
    x = 1,000,308.02/1,160.40
  6. Step 6: Final answer
    x = 862.04

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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.