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Finding the Fourth Proportional to 1,147.59, 1,579.57 and 959.00

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Solution

The fourth proportional to 1,147.59, 1,579.57 and 959.00 is: 1,319.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.59 : 1,579.57 = 959.00 : x
  2. Step 2: Convert to fraction form
    1,147.59/1,579.57 = 959.00/x
  3. Step 3: Cross multiply
    1,147.59x = 1,579.57 × 959.00
  4. Step 4: Simplify right side
    1,147.59x = 1,514,797.33
  5. Step 5: Solve for x
    x = 1,514,797.33/1,147.59
  6. Step 6: Final answer
    x = 1,319.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.