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Finding the Fourth Proportional to 1,174.32, 1,762.11 and 557.64

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Solution

The fourth proportional to 1,174.32, 1,762.11 and 557.64 is: 836.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.32 : 1,762.11 = 557.64 : x
  2. Step 2: Convert to fraction form
    1,174.32/1,762.11 = 557.64/x
  3. Step 3: Cross multiply
    1,174.32x = 1,762.11 × 557.64
  4. Step 4: Simplify right side
    1,174.32x = 982,623.02
  5. Step 5: Solve for x
    x = 982,623.02/1,174.32
  6. Step 6: Final answer
    x = 836.76

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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.