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Finding the Fourth Proportional to 916.00, 1,264.09 and 523.00

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Solution

The fourth proportional to 916.00, 1,264.09 and 523.00 is: 721.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.00 : 1,264.09 = 523.00 : x
  2. Step 2: Convert to fraction form
    916.00/1,264.09 = 523.00/x
  3. Step 3: Cross multiply
    916.00x = 1,264.09 × 523.00
  4. Step 4: Simplify right side
    916.00x = 661,112.75
  5. Step 5: Solve for x
    x = 661,112.75/916.00
  6. Step 6: Final answer
    x = 721.74

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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.