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Finding the Fourth Proportional to 1,162.32, 1,742.24 and 576.50

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Solution

The fourth proportional to 1,162.32, 1,742.24 and 576.50 is: 864.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.32 : 1,742.24 = 576.50 : x
  2. Step 2: Convert to fraction form
    1,162.32/1,742.24 = 576.50/x
  3. Step 3: Cross multiply
    1,162.32x = 1,742.24 × 576.50
  4. Step 4: Simplify right side
    1,162.32x = 1,004,401.36
  5. Step 5: Solve for x
    x = 1,004,401.36/1,162.32
  6. Step 6: Final answer
    x = 864.13

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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.