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Finding the Fourth Proportional to 1,001.51, 1,381.35 and 669.36

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Solution

The fourth proportional to 1,001.51, 1,381.35 and 669.36 is: 923.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.51 : 1,381.35 = 669.36 : x
  2. Step 2: Convert to fraction form
    1,001.51/1,381.35 = 669.36/x
  3. Step 3: Cross multiply
    1,001.51x = 1,381.35 × 669.36
  4. Step 4: Simplify right side
    1,001.51x = 924,628.13
  5. Step 5: Solve for x
    x = 924,628.13/1,001.51
  6. Step 6: Final answer
    x = 923.23

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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.