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Finding the Fourth Proportional to 1,756.96, 2,635.36 and 458.44

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Solution

The fourth proportional to 1,756.96, 2,635.36 and 458.44 is: 687.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.96 : 2,635.36 = 458.44 : x
  2. Step 2: Convert to fraction form
    1,756.96/2,635.36 = 458.44/x
  3. Step 3: Cross multiply
    1,756.96x = 2,635.36 × 458.44
  4. Step 4: Simplify right side
    1,756.96x = 1,208,154.44
  5. Step 5: Solve for x
    x = 1,208,154.44/1,756.96
  6. Step 6: Final answer
    x = 687.64

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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.