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Finding the Fourth Proportional to 1,709.89, 2,564.81 and 555.64

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Solution

The fourth proportional to 1,709.89, 2,564.81 and 555.64 is: 833.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.89 : 2,564.81 = 555.64 : x
  2. Step 2: Convert to fraction form
    1,709.89/2,564.81 = 555.64/x
  3. Step 3: Cross multiply
    1,709.89x = 2,564.81 × 555.64
  4. Step 4: Simplify right side
    1,709.89x = 1,425,108.25
  5. Step 5: Solve for x
    x = 1,425,108.25/1,709.89
  6. Step 6: Final answer
    x = 833.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.