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Finding the Fourth Proportional to 940.45, 1,298.10 and 608.87

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Solution

The fourth proportional to 940.45, 1,298.10 and 608.87 is: 840.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.45 : 1,298.10 = 608.87 : x
  2. Step 2: Convert to fraction form
    940.45/1,298.10 = 608.87/x
  3. Step 3: Cross multiply
    940.45x = 1,298.10 × 608.87
  4. Step 4: Simplify right side
    940.45x = 790,374.15
  5. Step 5: Solve for x
    x = 790,374.15/940.45
  6. Step 6: Final answer
    x = 840.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.