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Finding the Fourth Proportional to 1,459.83, 2,188.40 and 535.17

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Solution

The fourth proportional to 1,459.83, 2,188.40 and 535.17 is: 802.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.83 : 2,188.40 = 535.17 : x
  2. Step 2: Convert to fraction form
    1,459.83/2,188.40 = 535.17/x
  3. Step 3: Cross multiply
    1,459.83x = 2,188.40 × 535.17
  4. Step 4: Simplify right side
    1,459.83x = 1,171,163.35
  5. Step 5: Solve for x
    x = 1,171,163.35/1,459.83
  6. Step 6: Final answer
    x = 802.26

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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.