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Finding the Fourth Proportional to 1,093.47, 1,636.11 and 653.10

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Solution

The fourth proportional to 1,093.47, 1,636.11 and 653.10 is: 977.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.47 : 1,636.11 = 653.10 : x
  2. Step 2: Convert to fraction form
    1,093.47/1,636.11 = 653.10/x
  3. Step 3: Cross multiply
    1,093.47x = 1,636.11 × 653.10
  4. Step 4: Simplify right side
    1,093.47x = 1,068,543.44
  5. Step 5: Solve for x
    x = 1,068,543.44/1,093.47
  6. Step 6: Final answer
    x = 977.20

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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.