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Finding the Fourth Proportional to 1,032.74, 1,548.90 and 302.36

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Solution

The fourth proportional to 1,032.74, 1,548.90 and 302.36 is: 453.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.74 : 1,548.90 = 302.36 : x
  2. Step 2: Convert to fraction form
    1,032.74/1,548.90 = 302.36/x
  3. Step 3: Cross multiply
    1,032.74x = 1,548.90 × 302.36
  4. Step 4: Simplify right side
    1,032.74x = 468,325.40
  5. Step 5: Solve for x
    x = 468,325.40/1,032.74
  6. Step 6: Final answer
    x = 453.48

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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.