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Finding the Fourth Proportional to 1,137.54, 1,704.14 and 590.29

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Solution

The fourth proportional to 1,137.54, 1,704.14 and 590.29 is: 884.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.54 : 1,704.14 = 590.29 : x
  2. Step 2: Convert to fraction form
    1,137.54/1,704.14 = 590.29/x
  3. Step 3: Cross multiply
    1,137.54x = 1,704.14 × 590.29
  4. Step 4: Simplify right side
    1,137.54x = 1,005,931.80
  5. Step 5: Solve for x
    x = 1,005,931.80/1,137.54
  6. Step 6: Final answer
    x = 884.30

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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.