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Finding the Fourth Proportional to 772.83, 1,159.25 and 486.09

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Solution

The fourth proportional to 772.83, 1,159.25 and 486.09 is: 729.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.83 : 1,159.25 = 486.09 : x
  2. Step 2: Convert to fraction form
    772.83/1,159.25 = 486.09/x
  3. Step 3: Cross multiply
    772.83x = 1,159.25 × 486.09
  4. Step 4: Simplify right side
    772.83x = 563,497.40
  5. Step 5: Solve for x
    x = 563,497.40/772.83
  6. Step 6: Final answer
    x = 729.14

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Double scale
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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.