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Finding the Fourth Proportional to 1,398.75, 2,096.70 and 577.49

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Solution

The fourth proportional to 1,398.75, 2,096.70 and 577.49 is: 865.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.75 : 2,096.70 = 577.49 : x
  2. Step 2: Convert to fraction form
    1,398.75/2,096.70 = 577.49/x
  3. Step 3: Cross multiply
    1,398.75x = 2,096.70 × 577.49
  4. Step 4: Simplify right side
    1,398.75x = 1,210,812.80
  5. Step 5: Solve for x
    x = 1,210,812.80/1,398.75
  6. Step 6: Final answer
    x = 865.64

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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.