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Finding the Fourth Proportional to 672.90, 1,009.35 and 635.10

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Solution

The fourth proportional to 672.90, 1,009.35 and 635.10 is: 952.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.90 : 1,009.35 = 635.10 : x
  2. Step 2: Convert to fraction form
    672.90/1,009.35 = 635.10/x
  3. Step 3: Cross multiply
    672.90x = 1,009.35 × 635.10
  4. Step 4: Simplify right side
    672.90x = 641,038.19
  5. Step 5: Solve for x
    x = 641,038.19/672.90
  6. Step 6: Final answer
    x = 952.65

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