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Finding the Fourth Proportional to 1,165.13, 1,607.18 and 739.61

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Solution

The fourth proportional to 1,165.13, 1,607.18 and 739.61 is: 1,020.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.13 : 1,607.18 = 739.61 : x
  2. Step 2: Convert to fraction form
    1,165.13/1,607.18 = 739.61/x
  3. Step 3: Cross multiply
    1,165.13x = 1,607.18 × 739.61
  4. Step 4: Simplify right side
    1,165.13x = 1,188,693.89
  5. Step 5: Solve for x
    x = 1,188,693.89/1,165.13
  6. Step 6: Final answer
    x = 1,020.22

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Why These Related Problems?

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