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Finding the Fourth Proportional to 1,160.06, 1,601.64 and 718.61

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Solution

The fourth proportional to 1,160.06, 1,601.64 and 718.61 is: 992.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.06 : 1,601.64 = 718.61 : x
  2. Step 2: Convert to fraction form
    1,160.06/1,601.64 = 718.61/x
  3. Step 3: Cross multiply
    1,160.06x = 1,601.64 × 718.61
  4. Step 4: Simplify right side
    1,160.06x = 1,150,946.51
  5. Step 5: Solve for x
    x = 1,150,946.51/1,160.06
  6. Step 6: Final answer
    x = 992.15

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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.