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Finding the Fourth Proportional to 648.60, 971.94 and 476.76

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Solution

The fourth proportional to 648.60, 971.94 and 476.76 is: 714.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.60 : 971.94 = 476.76 : x
  2. Step 2: Convert to fraction form
    648.60/971.94 = 476.76/x
  3. Step 3: Cross multiply
    648.60x = 971.94 × 476.76
  4. Step 4: Simplify right side
    648.60x = 463,382.11
  5. Step 5: Solve for x
    x = 463,382.11/648.60
  6. Step 6: Final answer
    x = 714.43

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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.