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Finding the Fourth Proportional to 656.73, 983.33 and 612.31

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Solution

The fourth proportional to 656.73, 983.33 and 612.31 is: 916.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.73 : 983.33 = 612.31 : x
  2. Step 2: Convert to fraction form
    656.73/983.33 = 612.31/x
  3. Step 3: Cross multiply
    656.73x = 983.33 × 612.31
  4. Step 4: Simplify right side
    656.73x = 602,102.79
  5. Step 5: Solve for x
    x = 602,102.79/656.73
  6. Step 6: Final answer
    x = 916.82

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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.