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Finding the Fourth Proportional to 929.79, 1,393.08 and 654.57

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Solution

The fourth proportional to 929.79, 1,393.08 and 654.57 is: 980.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.79 : 1,393.08 = 654.57 : x
  2. Step 2: Convert to fraction form
    929.79/1,393.08 = 654.57/x
  3. Step 3: Cross multiply
    929.79x = 1,393.08 × 654.57
  4. Step 4: Simplify right side
    929.79x = 911,868.38
  5. Step 5: Solve for x
    x = 911,868.38/929.79
  6. Step 6: Final answer
    x = 980.73

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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.