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Finding the Fourth Proportional to 1,709.57, 2,565.59 and 735.95

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Solution

The fourth proportional to 1,709.57, 2,565.59 and 735.95 is: 1,104.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.57 : 2,565.59 = 735.95 : x
  2. Step 2: Convert to fraction form
    1,709.57/2,565.59 = 735.95/x
  3. Step 3: Cross multiply
    1,709.57x = 2,565.59 × 735.95
  4. Step 4: Simplify right side
    1,709.57x = 1,888,129.45
  5. Step 5: Solve for x
    x = 1,888,129.45/1,709.57
  6. Step 6: Final answer
    x = 1,104.45

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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.