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Finding the Fourth Proportional to 947.96, 1,308.42 and 575

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Solution

The fourth proportional to 947.96, 1,308.42 and 575 is: 793.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.96 : 1,308.42 = 575 : x
  2. Step 2: Convert to fraction form
    947.96/1,308.42 = 575/x
  3. Step 3: Cross multiply
    947.96x = 1,308.42 × 575
  4. Step 4: Simplify right side
    947.96x = 752,341.50
  5. Step 5: Solve for x
    x = 752,341.50/947.96
  6. Step 6: Final answer
    x = 793.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.