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Finding the Fourth Proportional to 774.84, 1,160.10 and 407.94

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Solution

The fourth proportional to 774.84, 1,160.10 and 407.94 is: 610.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.84 : 1,160.10 = 407.94 : x
  2. Step 2: Convert to fraction form
    774.84/1,160.10 = 407.94/x
  3. Step 3: Cross multiply
    774.84x = 1,160.10 × 407.94
  4. Step 4: Simplify right side
    774.84x = 473,251.19
  5. Step 5: Solve for x
    x = 473,251.19/774.84
  6. Step 6: Final answer
    x = 610.77

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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.