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Finding the Fourth Proportional to 1,200.96, 1,657.35 and 729

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Solution

The fourth proportional to 1,200.96, 1,657.35 and 729 is: 1,006.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.96 : 1,657.35 = 729 : x
  2. Step 2: Convert to fraction form
    1,200.96/1,657.35 = 729/x
  3. Step 3: Cross multiply
    1,200.96x = 1,657.35 × 729
  4. Step 4: Simplify right side
    1,200.96x = 1,208,208.15
  5. Step 5: Solve for x
    x = 1,208,208.15/1,200.96
  6. Step 6: Final answer
    x = 1,006.04

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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.