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Finding the Fourth Proportional to 1,320.24, 1,821.86 and 730.74

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Solution

The fourth proportional to 1,320.24, 1,821.86 and 730.74 is: 1,008.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.24 : 1,821.86 = 730.74 : x
  2. Step 2: Convert to fraction form
    1,320.24/1,821.86 = 730.74/x
  3. Step 3: Cross multiply
    1,320.24x = 1,821.86 × 730.74
  4. Step 4: Simplify right side
    1,320.24x = 1,331,305.06
  5. Step 5: Solve for x
    x = 1,331,305.06/1,320.24
  6. Step 6: Final answer
    x = 1,008.38

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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.