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Finding the Fourth Proportional to 675.10, 1,012.65 and 657.10

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Solution

The fourth proportional to 675.10, 1,012.65 and 657.10 is: 985.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.10 : 1,012.65 = 657.10 : x
  2. Step 2: Convert to fraction form
    675.10/1,012.65 = 657.10/x
  3. Step 3: Cross multiply
    675.10x = 1,012.65 × 657.10
  4. Step 4: Simplify right side
    675.10x = 665,412.32
  5. Step 5: Solve for x
    x = 665,412.32/675.10
  6. Step 6: Final answer
    x = 985.65

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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.