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Finding the Fourth Proportional to 845.13, 1,165.95 and 513.30

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Solution

The fourth proportional to 845.13, 1,165.95 and 513.30 is: 708.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.13 : 1,165.95 = 513.30 : x
  2. Step 2: Convert to fraction form
    845.13/1,165.95 = 513.30/x
  3. Step 3: Cross multiply
    845.13x = 1,165.95 × 513.30
  4. Step 4: Simplify right side
    845.13x = 598,482.14
  5. Step 5: Solve for x
    x = 598,482.14/845.13
  6. Step 6: Final answer
    x = 708.15

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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.