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Finding the Fourth Proportional to 1,162.63, 1,742.71 and 504.85

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Solution

The fourth proportional to 1,162.63, 1,742.71 and 504.85 is: 756.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.63 : 1,742.71 = 504.85 : x
  2. Step 2: Convert to fraction form
    1,162.63/1,742.71 = 504.85/x
  3. Step 3: Cross multiply
    1,162.63x = 1,742.71 × 504.85
  4. Step 4: Simplify right side
    1,162.63x = 879,807.14
  5. Step 5: Solve for x
    x = 879,807.14/1,162.63
  6. Step 6: Final answer
    x = 756.74

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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.