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Finding the Fourth Proportional to 1,055.34, 1,581.63 and 567.83

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Solution

The fourth proportional to 1,055.34, 1,581.63 and 567.83 is: 850.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.34 : 1,581.63 = 567.83 : x
  2. Step 2: Convert to fraction form
    1,055.34/1,581.63 = 567.83/x
  3. Step 3: Cross multiply
    1,055.34x = 1,581.63 × 567.83
  4. Step 4: Simplify right side
    1,055.34x = 898,089.05
  5. Step 5: Solve for x
    x = 898,089.05/1,055.34
  6. Step 6: Final answer
    x = 850.99

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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.