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Finding the Fourth Proportional to 1,059.12, 1,461.72 and 644.88

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Solution

The fourth proportional to 1,059.12, 1,461.72 and 644.88 is: 890.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.12 : 1,461.72 = 644.88 : x
  2. Step 2: Convert to fraction form
    1,059.12/1,461.72 = 644.88/x
  3. Step 3: Cross multiply
    1,059.12x = 1,461.72 × 644.88
  4. Step 4: Simplify right side
    1,059.12x = 942,633.99
  5. Step 5: Solve for x
    x = 942,633.99/1,059.12
  6. Step 6: Final answer
    x = 890.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.