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Finding the Fourth Proportional to 1,200.32, 1,656.36 and 734.57

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Solution

The fourth proportional to 1,200.32, 1,656.36 and 734.57 is: 1,013.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.32 : 1,656.36 = 734.57 : x
  2. Step 2: Convert to fraction form
    1,200.32/1,656.36 = 734.57/x
  3. Step 3: Cross multiply
    1,200.32x = 1,656.36 × 734.57
  4. Step 4: Simplify right side
    1,200.32x = 1,216,712.37
  5. Step 5: Solve for x
    x = 1,216,712.37/1,200.32
  6. Step 6: Final answer
    x = 1,013.66

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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.