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Finding the Fourth Proportional to 1,325.91, 1,988.96 and 352

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Solution

The fourth proportional to 1,325.91, 1,988.96 and 352 is: 528.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.91 : 1,988.96 = 352 : x
  2. Step 2: Convert to fraction form
    1,325.91/1,988.96 = 352/x
  3. Step 3: Cross multiply
    1,325.91x = 1,988.96 × 352
  4. Step 4: Simplify right side
    1,325.91x = 700,113.92
  5. Step 5: Solve for x
    x = 700,113.92/1,325.91
  6. Step 6: Final answer
    x = 528.03

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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.