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Finding the Fourth Proportional to 1,735.39, 2,603.12 and 565.39

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Solution

The fourth proportional to 1,735.39, 2,603.12 and 565.39 is: 848.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.39 : 2,603.12 = 565.39 : x
  2. Step 2: Convert to fraction form
    1,735.39/2,603.12 = 565.39/x
  3. Step 3: Cross multiply
    1,735.39x = 2,603.12 × 565.39
  4. Step 4: Simplify right side
    1,735.39x = 1,471,778.02
  5. Step 5: Solve for x
    x = 1,471,778.02/1,735.39
  6. Step 6: Final answer
    x = 848.10

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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.