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Finding the Fourth Proportional to 1,770.82, 2,656.32 and 538.13

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Solution

The fourth proportional to 1,770.82, 2,656.32 and 538.13 is: 807.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.82 : 2,656.32 = 538.13 : x
  2. Step 2: Convert to fraction form
    1,770.82/2,656.32 = 538.13/x
  3. Step 3: Cross multiply
    1,770.82x = 2,656.32 × 538.13
  4. Step 4: Simplify right side
    1,770.82x = 1,429,447.03
  5. Step 5: Solve for x
    x = 1,429,447.03/1,770.82
  6. Step 6: Final answer
    x = 807.23

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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.