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Finding the Fourth Proportional to 1,337.08, 2,005.43 and 459.57

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Solution

The fourth proportional to 1,337.08, 2,005.43 and 459.57 is: 689.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.08 : 2,005.43 = 459.57 : x
  2. Step 2: Convert to fraction form
    1,337.08/2,005.43 = 459.57/x
  3. Step 3: Cross multiply
    1,337.08x = 2,005.43 × 459.57
  4. Step 4: Simplify right side
    1,337.08x = 921,623.14
  5. Step 5: Solve for x
    x = 921,623.14/1,337.08
  6. Step 6: Final answer
    x = 689.28

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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.