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Finding the Fourth Proportional to 1,113.03, 1,534.90 and 734.24

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Solution

The fourth proportional to 1,113.03, 1,534.90 and 734.24 is: 1,012.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.03 : 1,534.90 = 734.24 : x
  2. Step 2: Convert to fraction form
    1,113.03/1,534.90 = 734.24/x
  3. Step 3: Cross multiply
    1,113.03x = 1,534.90 × 734.24
  4. Step 4: Simplify right side
    1,113.03x = 1,126,984.98
  5. Step 5: Solve for x
    x = 1,126,984.98/1,113.03
  6. Step 6: Final answer
    x = 1,012.54

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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.