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Finding the Fourth Proportional to 962.18, 1,328.30 and 666.93

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Solution

The fourth proportional to 962.18, 1,328.30 and 666.93 is: 920.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.18 : 1,328.30 = 666.93 : x
  2. Step 2: Convert to fraction form
    962.18/1,328.30 = 666.93/x
  3. Step 3: Cross multiply
    962.18x = 1,328.30 × 666.93
  4. Step 4: Simplify right side
    962.18x = 885,887.27
  5. Step 5: Solve for x
    x = 885,887.27/962.18
  6. Step 6: Final answer
    x = 920.71

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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.