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Finding the Fourth Proportional to 1,302.02, 1,952.88 and 328.12

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Solution

The fourth proportional to 1,302.02, 1,952.88 and 328.12 is: 492.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.02 : 1,952.88 = 328.12 : x
  2. Step 2: Convert to fraction form
    1,302.02/1,952.88 = 328.12/x
  3. Step 3: Cross multiply
    1,302.02x = 1,952.88 × 328.12
  4. Step 4: Simplify right side
    1,302.02x = 640,778.99
  5. Step 5: Solve for x
    x = 640,778.99/1,302.02
  6. Step 6: Final answer
    x = 492.14

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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.