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Finding the Fourth Proportional to 1,709.82, 2,564.76 and 477.22

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Solution

The fourth proportional to 1,709.82, 2,564.76 and 477.22 is: 715.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.82 : 2,564.76 = 477.22 : x
  2. Step 2: Convert to fraction form
    1,709.82/2,564.76 = 477.22/x
  3. Step 3: Cross multiply
    1,709.82x = 2,564.76 × 477.22
  4. Step 4: Simplify right side
    1,709.82x = 1,223,954.77
  5. Step 5: Solve for x
    x = 1,223,954.77/1,709.82
  6. Step 6: Final answer
    x = 715.84

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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.