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Finding the Fourth Proportional to 772.81, 1,159.48 and 286.00

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Solution

The fourth proportional to 772.81, 1,159.48 and 286.00 is: 429.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.81 : 1,159.48 = 286.00 : x
  2. Step 2: Convert to fraction form
    772.81/1,159.48 = 286.00/x
  3. Step 3: Cross multiply
    772.81x = 1,159.48 × 286.00
  4. Step 4: Simplify right side
    772.81x = 331,608.74
  5. Step 5: Solve for x
    x = 331,608.74/772.81
  6. Step 6: Final answer
    x = 429.10

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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.