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Finding the Fourth Proportional to 1,328.30, 1,833.04 and 730.82

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Solution

The fourth proportional to 1,328.30, 1,833.04 and 730.82 is: 1,008.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.30 : 1,833.04 = 730.82 : x
  2. Step 2: Convert to fraction form
    1,328.30/1,833.04 = 730.82/x
  3. Step 3: Cross multiply
    1,328.30x = 1,833.04 × 730.82
  4. Step 4: Simplify right side
    1,328.30x = 1,339,622.29
  5. Step 5: Solve for x
    x = 1,339,622.29/1,328.30
  6. Step 6: Final answer
    x = 1,008.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.