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Finding the Fourth Proportional to 1,156.89, 1,733.24 and 668.91

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Solution

The fourth proportional to 1,156.89, 1,733.24 and 668.91 is: 1,002.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.89 : 1,733.24 = 668.91 : x
  2. Step 2: Convert to fraction form
    1,156.89/1,733.24 = 668.91/x
  3. Step 3: Cross multiply
    1,156.89x = 1,733.24 × 668.91
  4. Step 4: Simplify right side
    1,156.89x = 1,159,378.22
  5. Step 5: Solve for x
    x = 1,159,378.22/1,156.89
  6. Step 6: Final answer
    x = 1,002.15

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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.