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Finding the Fourth Proportional to 1,021.96, 1,531.58 and 372.08

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Solution

The fourth proportional to 1,021.96, 1,531.58 and 372.08 is: 557.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.96 : 1,531.58 = 372.08 : x
  2. Step 2: Convert to fraction form
    1,021.96/1,531.58 = 372.08/x
  3. Step 3: Cross multiply
    1,021.96x = 1,531.58 × 372.08
  4. Step 4: Simplify right side
    1,021.96x = 569,870.29
  5. Step 5: Solve for x
    x = 569,870.29/1,021.96
  6. Step 6: Final answer
    x = 557.62

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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.