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Finding the Fourth Proportional to 786.58, 1,178.25 and 461.77

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Solution

The fourth proportional to 786.58, 1,178.25 and 461.77 is: 691.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.58 : 1,178.25 = 461.77 : x
  2. Step 2: Convert to fraction form
    786.58/1,178.25 = 461.77/x
  3. Step 3: Cross multiply
    786.58x = 1,178.25 × 461.77
  4. Step 4: Simplify right side
    786.58x = 544,075.83
  5. Step 5: Solve for x
    x = 544,075.83/786.58
  6. Step 6: Final answer
    x = 691.70

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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.