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Finding the Fourth Proportional to 1,625.55, 2,435.26 and 802.86

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Solution

The fourth proportional to 1,625.55, 2,435.26 and 802.86 is: 1,202.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.55 : 2,435.26 = 802.86 : x
  2. Step 2: Convert to fraction form
    1,625.55/2,435.26 = 802.86/x
  3. Step 3: Cross multiply
    1,625.55x = 2,435.26 × 802.86
  4. Step 4: Simplify right side
    1,625.55x = 1,955,163.21
  5. Step 5: Solve for x
    x = 1,955,163.21/1,625.55
  6. Step 6: Final answer
    x = 1,202.77

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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.