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Finding the Fourth Proportional to 1,032.18, 1,548.12 and 669.54

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Solution

The fourth proportional to 1,032.18, 1,548.12 and 669.54 is: 1,004.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.18 : 1,548.12 = 669.54 : x
  2. Step 2: Convert to fraction form
    1,032.18/1,548.12 = 669.54/x
  3. Step 3: Cross multiply
    1,032.18x = 1,548.12 × 669.54
  4. Step 4: Simplify right side
    1,032.18x = 1,036,528.26
  5. Step 5: Solve for x
    x = 1,036,528.26/1,032.18
  6. Step 6: Final answer
    x = 1,004.21

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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.