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Finding the Fourth Proportional to 1,459.72, 2,189.04 and 535

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Solution

The fourth proportional to 1,459.72, 2,189.04 and 535 is: 802.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.72 : 2,189.04 = 535 : x
  2. Step 2: Convert to fraction form
    1,459.72/2,189.04 = 535/x
  3. Step 3: Cross multiply
    1,459.72x = 2,189.04 × 535
  4. Step 4: Simplify right side
    1,459.72x = 1,171,136.40
  5. Step 5: Solve for x
    x = 1,171,136.40/1,459.72
  6. Step 6: Final answer
    x = 802.30

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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.