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Finding the Fourth Proportional to 615.60, 923.40 and 536.40

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Solution

The fourth proportional to 615.60, 923.40 and 536.40 is: 804.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.60 : 923.40 = 536.40 : x
  2. Step 2: Convert to fraction form
    615.60/923.40 = 536.40/x
  3. Step 3: Cross multiply
    615.60x = 923.40 × 536.40
  4. Step 4: Simplify right side
    615.60x = 495,311.76
  5. Step 5: Solve for x
    x = 495,311.76/615.60
  6. Step 6: Final answer
    x = 804.60

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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.