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Finding the Fourth Proportional to 1,174.72, 1,762.56 and 654.64

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Solution

The fourth proportional to 1,174.72, 1,762.56 and 654.64 is: 982.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.72 : 1,762.56 = 654.64 : x
  2. Step 2: Convert to fraction form
    1,174.72/1,762.56 = 654.64/x
  3. Step 3: Cross multiply
    1,174.72x = 1,762.56 × 654.64
  4. Step 4: Simplify right side
    1,174.72x = 1,153,842.28
  5. Step 5: Solve for x
    x = 1,153,842.28/1,174.72
  6. Step 6: Final answer
    x = 982.23

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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.