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Finding the Fourth Proportional to 922.64, 1,273.26 and 503.00

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Solution

The fourth proportional to 922.64, 1,273.26 and 503.00 is: 694.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.64 : 1,273.26 = 503.00 : x
  2. Step 2: Convert to fraction form
    922.64/1,273.26 = 503.00/x
  3. Step 3: Cross multiply
    922.64x = 1,273.26 × 503.00
  4. Step 4: Simplify right side
    922.64x = 640,443.41
  5. Step 5: Solve for x
    x = 640,443.41/922.64
  6. Step 6: Final answer
    x = 694.14

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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.