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Finding the Fourth Proportional to 1,709.61, 2,564.41 and 477.15

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Solution

The fourth proportional to 1,709.61, 2,564.41 and 477.15 is: 715.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.61 : 2,564.41 = 477.15 : x
  2. Step 2: Convert to fraction form
    1,709.61/2,564.41 = 477.15/x
  3. Step 3: Cross multiply
    1,709.61x = 2,564.41 × 477.15
  4. Step 4: Simplify right side
    1,709.61x = 1,223,608.23
  5. Step 5: Solve for x
    x = 1,223,608.23/1,709.61
  6. Step 6: Final answer
    x = 715.72

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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.