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Finding the Fourth Proportional to 1,102.68, 1,647.90 and 734.40

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Solution

The fourth proportional to 1,102.68, 1,647.90 and 734.40 is: 1,097.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.68 : 1,647.90 = 734.40 : x
  2. Step 2: Convert to fraction form
    1,102.68/1,647.90 = 734.40/x
  3. Step 3: Cross multiply
    1,102.68x = 1,647.90 × 734.40
  4. Step 4: Simplify right side
    1,102.68x = 1,210,217.76
  5. Step 5: Solve for x
    x = 1,210,217.76/1,102.68
  6. Step 6: Final answer
    x = 1,097.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.