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Finding the Fourth Proportional to 1,200.52, 1,656.21 and 757.63

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Solution

The fourth proportional to 1,200.52, 1,656.21 and 757.63 is: 1,045.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.52 : 1,656.21 = 757.63 : x
  2. Step 2: Convert to fraction form
    1,200.52/1,656.21 = 757.63/x
  3. Step 3: Cross multiply
    1,200.52x = 1,656.21 × 757.63
  4. Step 4: Simplify right side
    1,200.52x = 1,254,794.38
  5. Step 5: Solve for x
    x = 1,254,794.38/1,200.52
  6. Step 6: Final answer
    x = 1,045.21

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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.