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Finding the Fourth Proportional to 1,536.57, 2,305.53 and 562.95

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Solution

The fourth proportional to 1,536.57, 2,305.53 and 562.95 is: 844.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.57 : 2,305.53 = 562.95 : x
  2. Step 2: Convert to fraction form
    1,536.57/2,305.53 = 562.95/x
  3. Step 3: Cross multiply
    1,536.57x = 2,305.53 × 562.95
  4. Step 4: Simplify right side
    1,536.57x = 1,297,898.11
  5. Step 5: Solve for x
    x = 1,297,898.11/1,536.57
  6. Step 6: Final answer
    x = 844.67

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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.