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Finding the Fourth Proportional to 1,709, 2,564.59 and 613.34

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Solution

The fourth proportional to 1,709, 2,564.59 and 613.34 is: 920.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709 : 2,564.59 = 613.34 : x
  2. Step 2: Convert to fraction form
    1,709/2,564.59 = 613.34/x
  3. Step 3: Cross multiply
    1,709x = 2,564.59 × 613.34
  4. Step 4: Simplify right side
    1,709x = 1,572,965.63
  5. Step 5: Solve for x
    x = 1,572,965.63/1,709
  6. Step 6: Final answer
    x = 920.40

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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.