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Finding the Fourth Proportional to 1,202.64, 1,802.70 and 553.80

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Solution

The fourth proportional to 1,202.64, 1,802.70 and 553.80 is: 830.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.64 : 1,802.70 = 553.80 : x
  2. Step 2: Convert to fraction form
    1,202.64/1,802.70 = 553.80/x
  3. Step 3: Cross multiply
    1,202.64x = 1,802.70 × 553.80
  4. Step 4: Simplify right side
    1,202.64x = 998,335.26
  5. Step 5: Solve for x
    x = 998,335.26/1,202.64
  6. Step 6: Final answer
    x = 830.12

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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.