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Finding the Fourth Proportional to 1,756.84, 2,635.26 and 586.63

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Solution

The fourth proportional to 1,756.84, 2,635.26 and 586.63 is: 879.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.84 : 2,635.26 = 586.63 : x
  2. Step 2: Convert to fraction form
    1,756.84/2,635.26 = 586.63/x
  3. Step 3: Cross multiply
    1,756.84x = 2,635.26 × 586.63
  4. Step 4: Simplify right side
    1,756.84x = 1,545,910.49
  5. Step 5: Solve for x
    x = 1,545,910.49/1,756.84
  6. Step 6: Final answer
    x = 879.94

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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.