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Finding the Fourth Proportional to 1,770.28, 2,656.15 and 782.58

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Solution

The fourth proportional to 1,770.28, 2,656.15 and 782.58 is: 1,174.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.28 : 2,656.15 = 782.58 : x
  2. Step 2: Convert to fraction form
    1,770.28/2,656.15 = 782.58/x
  3. Step 3: Cross multiply
    1,770.28x = 2,656.15 × 782.58
  4. Step 4: Simplify right side
    1,770.28x = 2,078,636.59
  5. Step 5: Solve for x
    x = 2,078,636.59/1,770.28
  6. Step 6: Final answer
    x = 1,174.19

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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.