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Finding the Fourth Proportional to 1,770.20, 2,655.12 and 615.92

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Solution

The fourth proportional to 1,770.20, 2,655.12 and 615.92 is: 923.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.20 : 2,655.12 = 615.92 : x
  2. Step 2: Convert to fraction form
    1,770.20/2,655.12 = 615.92/x
  3. Step 3: Cross multiply
    1,770.20x = 2,655.12 × 615.92
  4. Step 4: Simplify right side
    1,770.20x = 1,635,341.51
  5. Step 5: Solve for x
    x = 1,635,341.51/1,770.20
  6. Step 6: Final answer
    x = 923.82

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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.