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Finding the Fourth Proportional to 1,770.24, 2,655.06 and 471.84

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Solution

The fourth proportional to 1,770.24, 2,655.06 and 471.84 is: 707.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.24 : 2,655.06 = 471.84 : x
  2. Step 2: Convert to fraction form
    1,770.24/2,655.06 = 471.84/x
  3. Step 3: Cross multiply
    1,770.24x = 2,655.06 × 471.84
  4. Step 4: Simplify right side
    1,770.24x = 1,252,763.51
  5. Step 5: Solve for x
    x = 1,252,763.51/1,770.24
  6. Step 6: Final answer
    x = 707.68

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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.