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Finding the Fourth Proportional to 1,328.66, 1,993.01 and 354.90

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Solution

The fourth proportional to 1,328.66, 1,993.01 and 354.90 is: 532.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.66 : 1,993.01 = 354.90 : x
  2. Step 2: Convert to fraction form
    1,328.66/1,993.01 = 354.90/x
  3. Step 3: Cross multiply
    1,328.66x = 1,993.01 × 354.90
  4. Step 4: Simplify right side
    1,328.66x = 707,319.25
  5. Step 5: Solve for x
    x = 707,319.25/1,328.66
  6. Step 6: Final answer
    x = 532.36

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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.