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Finding the Fourth Proportional to 1,764.17, 2,646.71 and 790.96

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Solution

The fourth proportional to 1,764.17, 2,646.71 and 790.96 is: 1,186.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.17 : 2,646.71 = 790.96 : x
  2. Step 2: Convert to fraction form
    1,764.17/2,646.71 = 790.96/x
  3. Step 3: Cross multiply
    1,764.17x = 2,646.71 × 790.96
  4. Step 4: Simplify right side
    1,764.17x = 2,093,441.74
  5. Step 5: Solve for x
    x = 2,093,441.74/1,764.17
  6. Step 6: Final answer
    x = 1,186.64

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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.