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Finding the Fourth Proportional to 1,735.22, 2,602.58 and 565.33

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Solution

The fourth proportional to 1,735.22, 2,602.58 and 565.33 is: 847.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.22 : 2,602.58 = 565.33 : x
  2. Step 2: Convert to fraction form
    1,735.22/2,602.58 = 565.33/x
  3. Step 3: Cross multiply
    1,735.22x = 2,602.58 × 565.33
  4. Step 4: Simplify right side
    1,735.22x = 1,471,316.55
  5. Step 5: Solve for x
    x = 1,471,316.55/1,735.22
  6. Step 6: Final answer
    x = 847.91

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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.