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Finding the Fourth Proportional to 772.36, 1,159.32 and 407.08

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Solution

The fourth proportional to 772.36, 1,159.32 and 407.08 is: 611.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.36 : 1,159.32 = 407.08 : x
  2. Step 2: Convert to fraction form
    772.36/1,159.32 = 407.08/x
  3. Step 3: Cross multiply
    772.36x = 1,159.32 × 407.08
  4. Step 4: Simplify right side
    772.36x = 471,935.99
  5. Step 5: Solve for x
    x = 471,935.99/772.36
  6. Step 6: Final answer
    x = 611.03

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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.