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Finding the Fourth Proportional to 672.17, 1,008.54 and 429.17

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Solution

The fourth proportional to 672.17, 1,008.54 and 429.17 is: 643.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.17 : 1,008.54 = 429.17 : x
  2. Step 2: Convert to fraction form
    672.17/1,008.54 = 429.17/x
  3. Step 3: Cross multiply
    672.17x = 1,008.54 × 429.17
  4. Step 4: Simplify right side
    672.17x = 432,830.07
  5. Step 5: Solve for x
    x = 432,830.07/672.17
  6. Step 6: Final answer
    x = 643.93

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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.