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Finding the Fourth Proportional to 1,709.77, 2,565.38 and 722.83

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Solution

The fourth proportional to 1,709.77, 2,565.38 and 722.83 is: 1,084.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.77 : 2,565.38 = 722.83 : x
  2. Step 2: Convert to fraction form
    1,709.77/2,565.38 = 722.83/x
  3. Step 3: Cross multiply
    1,709.77x = 2,565.38 × 722.83
  4. Step 4: Simplify right side
    1,709.77x = 1,854,333.63
  5. Step 5: Solve for x
    x = 1,854,333.63/1,709.77
  6. Step 6: Final answer
    x = 1,084.55

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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.