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Finding the Fourth Proportional to 1,328.52, 1,992.64 and 354.72

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Solution

The fourth proportional to 1,328.52, 1,992.64 and 354.72 is: 532.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.52 : 1,992.64 = 354.72 : x
  2. Step 2: Convert to fraction form
    1,328.52/1,992.64 = 354.72/x
  3. Step 3: Cross multiply
    1,328.52x = 1,992.64 × 354.72
  4. Step 4: Simplify right side
    1,328.52x = 706,829.26
  5. Step 5: Solve for x
    x = 706,829.26/1,328.52
  6. Step 6: Final answer
    x = 532.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.