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Finding the Fourth Proportional to 677.40, 1,010.92 and 604.52

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Solution

The fourth proportional to 677.40, 1,010.92 and 604.52 is: 902.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.40 : 1,010.92 = 604.52 : x
  2. Step 2: Convert to fraction form
    677.40/1,010.92 = 604.52/x
  3. Step 3: Cross multiply
    677.40x = 1,010.92 × 604.52
  4. Step 4: Simplify right side
    677.40x = 611,121.36
  5. Step 5: Solve for x
    x = 611,121.36/677.40
  6. Step 6: Final answer
    x = 902.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.