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Finding the Fourth Proportional to 1,756.42, 2,634.64 and 457.90

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Solution

The fourth proportional to 1,756.42, 2,634.64 and 457.90 is: 686.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.42 : 2,634.64 = 457.90 : x
  2. Step 2: Convert to fraction form
    1,756.42/2,634.64 = 457.90/x
  3. Step 3: Cross multiply
    1,756.42x = 2,634.64 × 457.90
  4. Step 4: Simplify right side
    1,756.42x = 1,206,401.66
  5. Step 5: Solve for x
    x = 1,206,401.66/1,756.42
  6. Step 6: Final answer
    x = 686.85

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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.