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Finding the Fourth Proportional to 1,033.52, 1,549.80 and 455.72

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Solution

The fourth proportional to 1,033.52, 1,549.80 and 455.72 is: 683.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.52 : 1,549.80 = 455.72 : x
  2. Step 2: Convert to fraction form
    1,033.52/1,549.80 = 455.72/x
  3. Step 3: Cross multiply
    1,033.52x = 1,549.80 × 455.72
  4. Step 4: Simplify right side
    1,033.52x = 706,274.86
  5. Step 5: Solve for x
    x = 706,274.86/1,033.52
  6. Step 6: Final answer
    x = 683.37

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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.