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Finding the Fourth Proportional to 734.82, 1,106.58 and 619.98

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Solution

The fourth proportional to 734.82, 1,106.58 and 619.98 is: 933.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.82 : 1,106.58 = 619.98 : x
  2. Step 2: Convert to fraction form
    734.82/1,106.58 = 619.98/x
  3. Step 3: Cross multiply
    734.82x = 1,106.58 × 619.98
  4. Step 4: Simplify right side
    734.82x = 686,057.47
  5. Step 5: Solve for x
    x = 686,057.47/734.82
  6. Step 6: Final answer
    x = 933.64

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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.