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Finding the Fourth Proportional to 1,200.78, 1,657.47 and 735.06

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Solution

The fourth proportional to 1,200.78, 1,657.47 and 735.06 is: 1,014.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.78 : 1,657.47 = 735.06 : x
  2. Step 2: Convert to fraction form
    1,200.78/1,657.47 = 735.06/x
  3. Step 3: Cross multiply
    1,200.78x = 1,657.47 × 735.06
  4. Step 4: Simplify right side
    1,200.78x = 1,218,339.90
  5. Step 5: Solve for x
    x = 1,218,339.90/1,200.78
  6. Step 6: Final answer
    x = 1,014.62

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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.