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Finding the Fourth Proportional to 1,756.36, 2,634.65 and 586.46

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Solution

The fourth proportional to 1,756.36, 2,634.65 and 586.46 is: 879.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.36 : 2,634.65 = 586.46 : x
  2. Step 2: Convert to fraction form
    1,756.36/2,634.65 = 586.46/x
  3. Step 3: Cross multiply
    1,756.36x = 2,634.65 × 586.46
  4. Step 4: Simplify right side
    1,756.36x = 1,545,116.84
  5. Step 5: Solve for x
    x = 1,545,116.84/1,756.36
  6. Step 6: Final answer
    x = 879.73

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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.