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Finding the Fourth Proportional to 1,756.69, 2,635.54 and 586.78

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Solution

The fourth proportional to 1,756.69, 2,635.54 and 586.78 is: 880.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.69 : 2,635.54 = 586.78 : x
  2. Step 2: Convert to fraction form
    1,756.69/2,635.54 = 586.78/x
  3. Step 3: Cross multiply
    1,756.69x = 2,635.54 × 586.78
  4. Step 4: Simplify right side
    1,756.69x = 1,546,474.11
  5. Step 5: Solve for x
    x = 1,546,474.11/1,756.69
  6. Step 6: Final answer
    x = 880.34

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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.