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Finding the Fourth Proportional to 1,328.59, 1,992.91 and 354.72

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Solution

The fourth proportional to 1,328.59, 1,992.91 and 354.72 is: 532.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.59 : 1,992.91 = 354.72 : x
  2. Step 2: Convert to fraction form
    1,328.59/1,992.91 = 354.72/x
  3. Step 3: Cross multiply
    1,328.59x = 1,992.91 × 354.72
  4. Step 4: Simplify right side
    1,328.59x = 706,925.04
  5. Step 5: Solve for x
    x = 706,925.04/1,328.59
  6. Step 6: Final answer
    x = 532.09

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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.