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Finding the Fourth Proportional to 1,480.03, 2,042.47 and 816.89

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Solution

The fourth proportional to 1,480.03, 2,042.47 and 816.89 is: 1,127.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.03 : 2,042.47 = 816.89 : x
  2. Step 2: Convert to fraction form
    1,480.03/2,042.47 = 816.89/x
  3. Step 3: Cross multiply
    1,480.03x = 2,042.47 × 816.89
  4. Step 4: Simplify right side
    1,480.03x = 1,668,473.32
  5. Step 5: Solve for x
    x = 1,668,473.32/1,480.03
  6. Step 6: Final answer
    x = 1,127.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.