Home / 1,158.68-1,736.76-580.16

Finding the Fourth Proportional to 1,158.68, 1,736.76 and 580.16

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Solution

The fourth proportional to 1,158.68, 1,736.76 and 580.16 is: 869.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.68 : 1,736.76 = 580.16 : x
  2. Step 2: Convert to fraction form
    1,158.68/1,736.76 = 580.16/x
  3. Step 3: Cross multiply
    1,158.68x = 1,736.76 × 580.16
  4. Step 4: Simplify right side
    1,158.68x = 1,007,598.68
  5. Step 5: Solve for x
    x = 1,007,598.68/1,158.68
  6. Step 6: Final answer
    x = 869.61

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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.