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Finding the Fourth Proportional to 677.10, 1,008.92 and 603.41

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Solution

The fourth proportional to 677.10, 1,008.92 and 603.41 is: 899.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.10 : 1,008.92 = 603.41 : x
  2. Step 2: Convert to fraction form
    677.10/1,008.92 = 603.41/x
  3. Step 3: Cross multiply
    677.10x = 1,008.92 × 603.41
  4. Step 4: Simplify right side
    677.10x = 608,784.36
  5. Step 5: Solve for x
    x = 608,784.36/677.10
  6. Step 6: Final answer
    x = 899.11

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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.