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Finding the Fourth Proportional to 1,165.52, 1,746.60 and 890.72

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Solution

The fourth proportional to 1,165.52, 1,746.60 and 890.72 is: 1,334.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.52 : 1,746.60 = 890.72 : x
  2. Step 2: Convert to fraction form
    1,165.52/1,746.60 = 890.72/x
  3. Step 3: Cross multiply
    1,165.52x = 1,746.60 × 890.72
  4. Step 4: Simplify right side
    1,165.52x = 1,555,731.55
  5. Step 5: Solve for x
    x = 1,555,731.55/1,165.52
  6. Step 6: Final answer
    x = 1,334.80

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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.