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Finding the Fourth Proportional to 1,200.64, 1,802.04 and 471.64

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Solution

The fourth proportional to 1,200.64, 1,802.04 and 471.64 is: 707.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.64 : 1,802.04 = 471.64 : x
  2. Step 2: Convert to fraction form
    1,200.64/1,802.04 = 471.64/x
  3. Step 3: Cross multiply
    1,200.64x = 1,802.04 × 471.64
  4. Step 4: Simplify right side
    1,200.64x = 849,914.15
  5. Step 5: Solve for x
    x = 849,914.15/1,200.64
  6. Step 6: Final answer
    x = 707.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.