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Finding the Fourth Proportional to 1,770.29, 2,655.36 and 471.76

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Solution

The fourth proportional to 1,770.29, 2,655.36 and 471.76 is: 707.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.29 : 2,655.36 = 471.76 : x
  2. Step 2: Convert to fraction form
    1,770.29/2,655.36 = 471.76/x
  3. Step 3: Cross multiply
    1,770.29x = 2,655.36 × 471.76
  4. Step 4: Simplify right side
    1,770.29x = 1,252,677.00
  5. Step 5: Solve for x
    x = 1,252,677.00/1,770.29
  6. Step 6: Final answer
    x = 707.61

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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.