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Finding the Fourth Proportional to 810.40, 1,215 and 672.88

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Solution

The fourth proportional to 810.40, 1,215 and 672.88 is: 1,008.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.40 : 1,215 = 672.88 : x
  2. Step 2: Convert to fraction form
    810.40/1,215 = 672.88/x
  3. Step 3: Cross multiply
    810.40x = 1,215 × 672.88
  4. Step 4: Simplify right side
    810.40x = 817,549.20
  5. Step 5: Solve for x
    x = 817,549.20/810.40
  6. Step 6: Final answer
    x = 1,008.82

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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.