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Finding the Fourth Proportional to 675.06, 1,010.16 and 654

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Solution

The fourth proportional to 675.06, 1,010.16 and 654 is: 978.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.06 : 1,010.16 = 654 : x
  2. Step 2: Convert to fraction form
    675.06/1,010.16 = 654/x
  3. Step 3: Cross multiply
    675.06x = 1,010.16 × 654
  4. Step 4: Simplify right side
    675.06x = 660,644.64
  5. Step 5: Solve for x
    x = 660,644.64/675.06
  6. Step 6: Final answer
    x = 978.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.