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Finding the Fourth Proportional to 1,709.40, 2,563.20 and 613.60

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Solution

The fourth proportional to 1,709.40, 2,563.20 and 613.60 is: 920.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.40 : 2,563.20 = 613.60 : x
  2. Step 2: Convert to fraction form
    1,709.40/2,563.20 = 613.60/x
  3. Step 3: Cross multiply
    1,709.40x = 2,563.20 × 613.60
  4. Step 4: Simplify right side
    1,709.40x = 1,572,779.52
  5. Step 5: Solve for x
    x = 1,572,779.52/1,709.40
  6. Step 6: Final answer
    x = 920.08

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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.