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Finding the Fourth Proportional to 1,397.70, 2,094.57 and 575.46

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Solution

The fourth proportional to 1,397.70, 2,094.57 and 575.46 is: 862.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.70 : 2,094.57 = 575.46 : x
  2. Step 2: Convert to fraction form
    1,397.70/2,094.57 = 575.46/x
  3. Step 3: Cross multiply
    1,397.70x = 2,094.57 × 575.46
  4. Step 4: Simplify right side
    1,397.70x = 1,205,341.25
  5. Step 5: Solve for x
    x = 1,205,341.25/1,397.70
  6. Step 6: Final answer
    x = 862.37

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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.