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Finding the Fourth Proportional to 909.96, 1,365.18 and 661.02

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Solution

The fourth proportional to 909.96, 1,365.18 and 661.02 is: 991.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.96 : 1,365.18 = 661.02 : x
  2. Step 2: Convert to fraction form
    909.96/1,365.18 = 661.02/x
  3. Step 3: Cross multiply
    909.96x = 1,365.18 × 661.02
  4. Step 4: Simplify right side
    909.96x = 902,411.28
  5. Step 5: Solve for x
    x = 902,411.28/909.96
  6. Step 6: Final answer
    x = 991.70

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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.