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Finding the Fourth Proportional to 665.96, 920.10 and 555.08

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Solution

The fourth proportional to 665.96, 920.10 and 555.08 is: 766.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.96 : 920.10 = 555.08 : x
  2. Step 2: Convert to fraction form
    665.96/920.10 = 555.08/x
  3. Step 3: Cross multiply
    665.96x = 920.10 × 555.08
  4. Step 4: Simplify right side
    665.96x = 510,729.11
  5. Step 5: Solve for x
    x = 510,729.11/665.96
  6. Step 6: Final answer
    x = 766.91

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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.