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Finding the Fourth Proportional to 1,200.64, 1,656.99 and 676.77

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Solution

The fourth proportional to 1,200.64, 1,656.99 and 676.77 is: 934.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.64 : 1,656.99 = 676.77 : x
  2. Step 2: Convert to fraction form
    1,200.64/1,656.99 = 676.77/x
  3. Step 3: Cross multiply
    1,200.64x = 1,656.99 × 676.77
  4. Step 4: Simplify right side
    1,200.64x = 1,121,403.57
  5. Step 5: Solve for x
    x = 1,121,403.57/1,200.64
  6. Step 6: Final answer
    x = 934.00

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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.