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Finding the Fourth Proportional to 1,307.64, 1,960.32 and 485.48

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Solution

The fourth proportional to 1,307.64, 1,960.32 and 485.48 is: 727.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.64 : 1,960.32 = 485.48 : x
  2. Step 2: Convert to fraction form
    1,307.64/1,960.32 = 485.48/x
  3. Step 3: Cross multiply
    1,307.64x = 1,960.32 × 485.48
  4. Step 4: Simplify right side
    1,307.64x = 951,696.15
  5. Step 5: Solve for x
    x = 951,696.15/1,307.64
  6. Step 6: Final answer
    x = 727.80

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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.