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Finding the Fourth Proportional to 845.50, 1,166.95 and 477.50

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Solution

The fourth proportional to 845.50, 1,166.95 and 477.50 is: 659.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.50 : 1,166.95 = 477.50 : x
  2. Step 2: Convert to fraction form
    845.50/1,166.95 = 477.50/x
  3. Step 3: Cross multiply
    845.50x = 1,166.95 × 477.50
  4. Step 4: Simplify right side
    845.50x = 557,218.63
  5. Step 5: Solve for x
    x = 557,218.63/845.50
  6. Step 6: Final answer
    x = 659.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.