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Finding the Fourth Proportional to 1,001.02, 1,382.07 and 652.30

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Solution

The fourth proportional to 1,001.02, 1,382.07 and 652.30 is: 900.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.02 : 1,382.07 = 652.30 : x
  2. Step 2: Convert to fraction form
    1,001.02/1,382.07 = 652.30/x
  3. Step 3: Cross multiply
    1,001.02x = 1,382.07 × 652.30
  4. Step 4: Simplify right side
    1,001.02x = 901,524.26
  5. Step 5: Solve for x
    x = 901,524.26/1,001.02
  6. Step 6: Final answer
    x = 900.61

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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.