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Finding the Fourth Proportional to 903.53, 1,246.92 and 549.40

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Solution

The fourth proportional to 903.53, 1,246.92 and 549.40 is: 758.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.53 : 1,246.92 = 549.40 : x
  2. Step 2: Convert to fraction form
    903.53/1,246.92 = 549.40/x
  3. Step 3: Cross multiply
    903.53x = 1,246.92 × 549.40
  4. Step 4: Simplify right side
    903.53x = 685,054.59
  5. Step 5: Solve for x
    x = 685,054.59/903.53
  6. Step 6: Final answer
    x = 758.20

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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.