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Finding the Fourth Proportional to 1,048.10, 1,571.12 and 463.42

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Solution

The fourth proportional to 1,048.10, 1,571.12 and 463.42 is: 694.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.10 : 1,571.12 = 463.42 : x
  2. Step 2: Convert to fraction form
    1,048.10/1,571.12 = 463.42/x
  3. Step 3: Cross multiply
    1,048.10x = 1,571.12 × 463.42
  4. Step 4: Simplify right side
    1,048.10x = 728,088.43
  5. Step 5: Solve for x
    x = 728,088.43/1,048.10
  6. Step 6: Final answer
    x = 694.67

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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.