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Finding the Fourth Proportional to 725.88, 1,088.01 and 314.40

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Solution

The fourth proportional to 725.88, 1,088.01 and 314.40 is: 471.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.88 : 1,088.01 = 314.40 : x
  2. Step 2: Convert to fraction form
    725.88/1,088.01 = 314.40/x
  3. Step 3: Cross multiply
    725.88x = 1,088.01 × 314.40
  4. Step 4: Simplify right side
    725.88x = 342,070.34
  5. Step 5: Solve for x
    x = 342,070.34/725.88
  6. Step 6: Final answer
    x = 471.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.