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Finding the Fourth Proportional to 774.06, 1,159.73 and 407.98

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Solution

The fourth proportional to 774.06, 1,159.73 and 407.98 is: 611.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.06 : 1,159.73 = 407.98 : x
  2. Step 2: Convert to fraction form
    774.06/1,159.73 = 407.98/x
  3. Step 3: Cross multiply
    774.06x = 1,159.73 × 407.98
  4. Step 4: Simplify right side
    774.06x = 473,146.65
  5. Step 5: Solve for x
    x = 473,146.65/774.06
  6. Step 6: Final answer
    x = 611.25

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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.