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Finding the Fourth Proportional to 730.51, 1,095.83 and 486.30

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Solution

The fourth proportional to 730.51, 1,095.83 and 486.30 is: 729.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.51 : 1,095.83 = 486.30 : x
  2. Step 2: Convert to fraction form
    730.51/1,095.83 = 486.30/x
  3. Step 3: Cross multiply
    730.51x = 1,095.83 × 486.30
  4. Step 4: Simplify right side
    730.51x = 532,902.13
  5. Step 5: Solve for x
    x = 532,902.13/730.51
  6. Step 6: Final answer
    x = 729.49

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1.5x scale

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.