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Finding the Fourth Proportional to 981.84, 1,354.98 and 609.01

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Solution

The fourth proportional to 981.84, 1,354.98 and 609.01 is: 840.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.84 : 1,354.98 = 609.01 : x
  2. Step 2: Convert to fraction form
    981.84/1,354.98 = 609.01/x
  3. Step 3: Cross multiply
    981.84x = 1,354.98 × 609.01
  4. Step 4: Simplify right side
    981.84x = 825,196.37
  5. Step 5: Solve for x
    x = 825,196.37/981.84
  6. Step 6: Final answer
    x = 840.46

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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.