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Finding the Fourth Proportional to 1,077.07, 1,615.47 and 427.18

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Solution

The fourth proportional to 1,077.07, 1,615.47 and 427.18 is: 640.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.07 : 1,615.47 = 427.18 : x
  2. Step 2: Convert to fraction form
    1,077.07/1,615.47 = 427.18/x
  3. Step 3: Cross multiply
    1,077.07x = 1,615.47 × 427.18
  4. Step 4: Simplify right side
    1,077.07x = 690,096.47
  5. Step 5: Solve for x
    x = 690,096.47/1,077.07
  6. Step 6: Final answer
    x = 640.72

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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.