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Finding the Fourth Proportional to 615.66, 921.53 and 537.23

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Solution

The fourth proportional to 615.66, 921.53 and 537.23 is: 804.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.66 : 921.53 = 537.23 : x
  2. Step 2: Convert to fraction form
    615.66/921.53 = 537.23/x
  3. Step 3: Cross multiply
    615.66x = 921.53 × 537.23
  4. Step 4: Simplify right side
    615.66x = 495,066.27
  5. Step 5: Solve for x
    x = 495,066.27/615.66
  6. Step 6: Final answer
    x = 804.12

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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.