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Finding the Fourth Proportional to 1,089.21, 1,634.06 and 358.76

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Solution

The fourth proportional to 1,089.21, 1,634.06 and 358.76 is: 538.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.21 : 1,634.06 = 358.76 : x
  2. Step 2: Convert to fraction form
    1,089.21/1,634.06 = 358.76/x
  3. Step 3: Cross multiply
    1,089.21x = 1,634.06 × 358.76
  4. Step 4: Simplify right side
    1,089.21x = 586,225.40
  5. Step 5: Solve for x
    x = 586,225.40/1,089.21
  6. Step 6: Final answer
    x = 538.21

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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.