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Finding the Fourth Proportional to 1,174.49, 1,762.01 and 394.60

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Solution

The fourth proportional to 1,174.49, 1,762.01 and 394.60 is: 591.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.49 : 1,762.01 = 394.60 : x
  2. Step 2: Convert to fraction form
    1,174.49/1,762.01 = 394.60/x
  3. Step 3: Cross multiply
    1,174.49x = 1,762.01 × 394.60
  4. Step 4: Simplify right side
    1,174.49x = 695,278.36
  5. Step 5: Solve for x
    x = 695,278.36/1,174.49
  6. Step 6: Final answer
    x = 591.98

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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.