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Finding the Fourth Proportional to 1,770.08, 2,654.92 and 471.64

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Solution

The fourth proportional to 1,770.08, 2,654.92 and 471.64 is: 707.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.08 : 2,654.92 = 471.64 : x
  2. Step 2: Convert to fraction form
    1,770.08/2,654.92 = 471.64/x
  3. Step 3: Cross multiply
    1,770.08x = 2,654.92 × 471.64
  4. Step 4: Simplify right side
    1,770.08x = 1,252,166.47
  5. Step 5: Solve for x
    x = 1,252,166.47/1,770.08
  6. Step 6: Final answer
    x = 707.41

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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.