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Finding the Fourth Proportional to 783.95, 1,177.29 and 461.34

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Solution

The fourth proportional to 783.95, 1,177.29 and 461.34 is: 692.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.95 : 1,177.29 = 461.34 : x
  2. Step 2: Convert to fraction form
    783.95/1,177.29 = 461.34/x
  3. Step 3: Cross multiply
    783.95x = 1,177.29 × 461.34
  4. Step 4: Simplify right side
    783.95x = 543,130.97
  5. Step 5: Solve for x
    x = 543,130.97/783.95
  6. Step 6: Final answer
    x = 692.82

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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.