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Finding the Fourth Proportional to 1,155.27, 1,732.30 and 790.16

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Solution

The fourth proportional to 1,155.27, 1,732.30 and 790.16 is: 1,184.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.27 : 1,732.30 = 790.16 : x
  2. Step 2: Convert to fraction form
    1,155.27/1,732.30 = 790.16/x
  3. Step 3: Cross multiply
    1,155.27x = 1,732.30 × 790.16
  4. Step 4: Simplify right side
    1,155.27x = 1,368,790.22
  5. Step 5: Solve for x
    x = 1,368,790.22/1,155.27
  6. Step 6: Final answer
    x = 1,184.82

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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.