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Finding the Fourth Proportional to 955.37, 1,430.93 and 734.36

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Solution

The fourth proportional to 955.37, 1,430.93 and 734.36 is: 1,099.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.37 : 1,430.93 = 734.36 : x
  2. Step 2: Convert to fraction form
    955.37/1,430.93 = 734.36/x
  3. Step 3: Cross multiply
    955.37x = 1,430.93 × 734.36
  4. Step 4: Simplify right side
    955.37x = 1,050,820.41
  5. Step 5: Solve for x
    x = 1,050,820.41/955.37
  6. Step 6: Final answer
    x = 1,099.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.