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Finding the Fourth Proportional to 903.70, 1,246.74 and 609.16

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Solution

The fourth proportional to 903.70, 1,246.74 and 609.16 is: 840.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.70 : 1,246.74 = 609.16 : x
  2. Step 2: Convert to fraction form
    903.70/1,246.74 = 609.16/x
  3. Step 3: Cross multiply
    903.70x = 1,246.74 × 609.16
  4. Step 4: Simplify right side
    903.70x = 759,457.90
  5. Step 5: Solve for x
    x = 759,457.90/903.70
  6. Step 6: Final answer
    x = 840.39

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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.