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Finding the Fourth Proportional to 1,709.82, 2,565.12 and 555.56

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Solution

The fourth proportional to 1,709.82, 2,565.12 and 555.56 is: 833.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.82 : 2,565.12 = 555.56 : x
  2. Step 2: Convert to fraction form
    1,709.82/2,565.12 = 555.56/x
  3. Step 3: Cross multiply
    1,709.82x = 2,565.12 × 555.56
  4. Step 4: Simplify right side
    1,709.82x = 1,425,078.07
  5. Step 5: Solve for x
    x = 1,425,078.07/1,709.82
  6. Step 6: Final answer
    x = 833.47

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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.