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Finding the Fourth Proportional to 1,001.47, 1,382.04 and 581.85

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Solution

The fourth proportional to 1,001.47, 1,382.04 and 581.85 is: 802.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.47 : 1,382.04 = 581.85 : x
  2. Step 2: Convert to fraction form
    1,001.47/1,382.04 = 581.85/x
  3. Step 3: Cross multiply
    1,001.47x = 1,382.04 × 581.85
  4. Step 4: Simplify right side
    1,001.47x = 804,137.06
  5. Step 5: Solve for x
    x = 804,137.06/1,001.47
  6. Step 6: Final answer
    x = 802.96

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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.