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Finding the Fourth Proportional to 1,202.32, 1,802.80 and 471.70

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Solution

The fourth proportional to 1,202.32, 1,802.80 and 471.70 is: 707.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.32 : 1,802.80 = 471.70 : x
  2. Step 2: Convert to fraction form
    1,202.32/1,802.80 = 471.70/x
  3. Step 3: Cross multiply
    1,202.32x = 1,802.80 × 471.70
  4. Step 4: Simplify right side
    1,202.32x = 850,369.39
  5. Step 5: Solve for x
    x = 850,369.39/1,202.32
  6. Step 6: Final answer
    x = 707.28

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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.