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Finding the Fourth Proportional to 1,397.20, 2,094.72 and 472.18

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Solution

The fourth proportional to 1,397.20, 2,094.72 and 472.18 is: 707.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.20 : 2,094.72 = 472.18 : x
  2. Step 2: Convert to fraction form
    1,397.20/2,094.72 = 472.18/x
  3. Step 3: Cross multiply
    1,397.20x = 2,094.72 × 472.18
  4. Step 4: Simplify right side
    1,397.20x = 989,084.89
  5. Step 5: Solve for x
    x = 989,084.89/1,397.20
  6. Step 6: Final answer
    x = 707.91

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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.