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Finding the Fourth Proportional to 736.68, 1,110.32 and 697.08

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Solution

The fourth proportional to 736.68, 1,110.32 and 697.08 is: 1,050.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.68 : 1,110.32 = 697.08 : x
  2. Step 2: Convert to fraction form
    736.68/1,110.32 = 697.08/x
  3. Step 3: Cross multiply
    736.68x = 1,110.32 × 697.08
  4. Step 4: Simplify right side
    736.68x = 773,981.87
  5. Step 5: Solve for x
    x = 773,981.87/736.68
  6. Step 6: Final answer
    x = 1,050.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.