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Finding the Fourth Proportional to 1,200.69, 1,656.95 and 676.89

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Solution

The fourth proportional to 1,200.69, 1,656.95 and 676.89 is: 934.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.69 : 1,656.95 = 676.89 : x
  2. Step 2: Convert to fraction form
    1,200.69/1,656.95 = 676.89/x
  3. Step 3: Cross multiply
    1,200.69x = 1,656.95 × 676.89
  4. Step 4: Simplify right side
    1,200.69x = 1,121,569.50
  5. Step 5: Solve for x
    x = 1,121,569.50/1,200.69
  6. Step 6: Final answer
    x = 934.10

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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.