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Finding the Fourth Proportional to 1,001.64, 1,381.96 and 581.88

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Solution

The fourth proportional to 1,001.64, 1,381.96 and 581.88 is: 802.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.64 : 1,381.96 = 581.88 : x
  2. Step 2: Convert to fraction form
    1,001.64/1,381.96 = 581.88/x
  3. Step 3: Cross multiply
    1,001.64x = 1,381.96 × 581.88
  4. Step 4: Simplify right side
    1,001.64x = 804,134.88
  5. Step 5: Solve for x
    x = 804,134.88/1,001.64
  6. Step 6: Final answer
    x = 802.82

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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.