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Finding the Fourth Proportional to 1,709.67, 2,564.51 and 477.09

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Solution

The fourth proportional to 1,709.67, 2,564.51 and 477.09 is: 715.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.67 : 2,564.51 = 477.09 : x
  2. Step 2: Convert to fraction form
    1,709.67/2,564.51 = 477.09/x
  3. Step 3: Cross multiply
    1,709.67x = 2,564.51 × 477.09
  4. Step 4: Simplify right side
    1,709.67x = 1,223,501.86
  5. Step 5: Solve for x
    x = 1,223,501.86/1,709.67
  6. Step 6: Final answer
    x = 715.64

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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.