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Finding the Fourth Proportional to 1,757.40, 2,636.18 and 458.84

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Solution

The fourth proportional to 1,757.40, 2,636.18 and 458.84 is: 688.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.40 : 2,636.18 = 458.84 : x
  2. Step 2: Convert to fraction form
    1,757.40/2,636.18 = 458.84/x
  3. Step 3: Cross multiply
    1,757.40x = 2,636.18 × 458.84
  4. Step 4: Simplify right side
    1,757.40x = 1,209,569.36
  5. Step 5: Solve for x
    x = 1,209,569.36/1,757.40
  6. Step 6: Final answer
    x = 688.27

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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.